{"title":"Functional analysis and transforms Books","description":"","products":[{"product_id":"the-gamma-function-9780486789781","title":"The Gamma Function","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis brief monograph on the gamma function by a major 20th century mathematician was designed to bridge a gap in the literature of mathematics between incomplete and over-complicated treatments. Topics include functions, the Euler integrals and the Gauss formula, large values of x and the multiplication formula, the connection with sin x, applications to definite integrals, and other subjects.","brand":"Dover Publications Inc.","offers":[{"title":"Default Title","offer_id":48733801611607,"sku":"9780486789781","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780486789781.jpg?v=1720001757"},{"product_id":"fractal-geometry-complex-dimensions-and-zeta-functions-9781461421757","title":"Fractal Geometry Complex Dimensions and Zeta","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn its Second Edition, this in-depth study of the vibrations of fractal strings interlinks number theory, spectral geometry and fractal geometry. Includes a geometric reformulation of the Riemann hypothesis and a new final chapter on recent topics and results.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“This interesting volume gives a thorough introduction to an active field of research and will be very valuable to graduate students and researchers alike.” (C. Baxa, Monatshefte für Mathematik, Vol. 180, 2016)\u003c\/p\u003e\u003cp\u003e“In this research monograph the authors provide a mathematical theory of complex dimensions of fractal strings and its many applications. … The book is written in a self-contained manner the results … are completely proved. I appreciate that the book is useful for mathematicians, students, researchers, postgraduates, physicians and other specialists which are interested in studying the fractals and dimension theory.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, April, 2013)\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e“The authors provide a mathematical theory of complex dimensions of fractal strings and its many applications. … The book is written in a self-contained manner, the results (including some fundamental ones) are completely proved. … the book will be useful to mathematicians, students, researchers, postgraduates, physicians and other specialists which are interested in studying fractals and dimension theory.” (Nicolae-Adrian Secelean, Zentralblatt MATH, Vol. 1261, 2013)\u003c\/p\u003e\u003cp\u003e\"In this book the author encompasses a broad range of topics that connect many areas of mathematics, including fractal geometry, number theory, spectral geometry, dynamical systems, complex analysis, distribution theory and mathematical physics. The book is self containing, the material organized in chapters preceding by an introduction and finally there are some interesting applications of the theory presented. ...The book is very well written and organized and the subject is very interesting and actual and has many applications.\" -- Nicolae-Adrian Secelean for Zentralblatt MATH\u003c\/p\u003e\u003cp\u003e\"This highly original self-contained book will appeal to geometers, fractalists, mathematical physicists and number theorists, as well as to graduate students in these fields and others interested in gaining insight into these rich areas either for its own sake or with a view to applications. They will find it a stimulating guide, well written in a clear and pleasant style.\" -- Mathematical Reviews (Review of previous book by authors)\u003c\/p\u003e\u003cp\u003e\"It is the reviewera (TM)s opinion that the authors have succeeded in showing that the complex dimensions provide a very natural and unifying mathematical framework for investigating the oscillations in the geometry and the spectrum of a fractal string. The book is well written. The exposition is self-contained, intelligent and well paced.\" -- Bulletin of the London Mathematical Society (Review of previous book by authors)\u003c\/p\u003e\u003cp\u003e\"The new approach and results on the important problems illuminated in this work will appeal to researchers and graduate students in number theory, fractal geometry, dynamical systems, spectral geometry, and mathematical physics.\" -- Simulation News Europe (Review of previous book by authors)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface.- Overview.- Introduction.- 1. Complex Dimensions of Ordinary Fractal Strings.- 2. Complex Dimensions of Self-Similar Fractal Strings.- 3. Complex Dimensions of Nonlattice Self-Similar Strings.- 4. Generalized Fractal Strings Viewed as Measures.- 5. Explicit Formulas for Generalized Fractal Strings.- 6. The Geometry and the Spectrum of Fractal Strings.- 7. Periodic Orbits of Self-Similar Flows.- 8. Fractal Tube Formulas.- 9. Riemann Hypothesis and Inverse Spectral Problems.- 10. Generalized Cantor Strings and their Oscillations.- 11. Critical Zero of Zeta Functions.- 12 Fractality and Complex Dimensions.- 13. Recent Results and Perspectives.- Appendix A. Zeta Functions in Number Theory.- Appendix B. Zeta Functions of Laplacians and Spectral Asymptotics.- Appendix C. An Application of Nevanlinna Theory.- Bibliography.- Author Index.- Subject Index.- Index of Symbols.- Conventions.- Acknowledgements.\u003c\/p\u003e","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":48739348971863,"sku":"9781461421757","price":107.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781461421757.jpg?v=1720051981"},{"product_id":"doh-fourier-theory-applications-and-derivatives-9781800611191","title":"D'oh! Fourier: Theory, Applications, And","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eD'oh! Fourier introduces the Fourier transform and is aimed at undergraduates in Computer Science, Mathematics, and Applied Sciences, as well as for those wishing to extend their education. Formulated around ten key points, this accessible book is light-hearted and illustrative, with many applications. The basis and deployment of the Fourier transform are covered applying real-world examples throughout inductively rather than the theoretical approach deductively.The key components of the textbook are continuous signals analysis, discrete signals analysis, image processing, applications of Fourier analysis, together with the origin and nature of the transform itself. D'oh! Fourier is reproducible via MATLAB\/Octave and is supported by a comprehensive website which provides the code contained within the book.","brand":"World Scientific Europe Ltd","offers":[{"title":"Default Title","offer_id":48741753225559,"sku":"9781800611191","price":52.25,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781800611191.jpg?v=1720058691"},{"product_id":"modern-mathematical-methods-for-scientists-and-engineers-a-street-smart-introduction-9781800611832","title":"Modern Mathematical Methods For Scientists And","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eModern Mathematical Methods for Scientists and Engineers is a modern introduction to basic topics in mathematics at the undergraduate level, with emphasis on explanations and applications to real-life problems. There is also an 'Application' section at the end of each chapter, with topics drawn from a variety of areas, including neural networks, fluid dynamics, and the behavior of 'put' and 'call' options in financial markets. The book presents several modern important and computationally efficient topics, including feedforward neural networks, wavelets, generalized functions, stochastic optimization methods, and numerical methods.A unique and novel feature of the book is the introduction of a recently developed method for solving partial differential equations (PDEs), called the unified transform. PDEs are the mathematical cornerstone for describing an astonishingly wide range of phenomena, from quantum mechanics to ocean waves, to the diffusion of heat in matter and the behavior of financial markets. Despite the efforts of many famous mathematicians, physicists and engineers, the solution of partial differential equations remains a challenge.The unified transform greatly facilitates this task. For example, two and a half centuries after Jean d'Alembert formulated the wave equation and presented a solution for solving a simple problem for this equation, the unified transform derives in a simple manner a generalization of the d'Alembert solution, valid for general boundary value problems. Moreover, two centuries after Joseph Fourier introduced the classical tool of the Fourier series for solving the heat equation, the unified transform constructs a new solution to this ubiquitous PDE, with important analytical and numerical advantages in comparison to the classical solutions. The authors present the unified transform pedagogically, building all the necessary background, including functions of real and of complex variables and the Fourier transform, illustrating the method with numerous examples.Broad in scope, but pedagogical in style and content, the book is an introduction to powerful mathematical concepts and modern tools for students in science and engineering.","brand":"World Scientific Europe Ltd","offers":[{"title":"Default Title","offer_id":48741754077527,"sku":"9781800611832","price":81.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781800611832.jpg?v=1720058694"},{"product_id":"explorations-in-complex-functions-9783030545321","title":"Explorations in Complex Functions","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis textbook explores a selection of topics in complex analysis. From core material in the mainstream of complex analysis itself, to tools that are widely used in other areas of mathematics, this versatile compilation offers a selection of many different paths. Readers interested in complex analysis will appreciate the unique combination of topics and connections collected in this book.\u003cbr\u003e \u003cbr\u003e Beginning with a review of the main tools of complex analysis, harmonic analysis, and functional analysis, the authors go on to present multiple different, self-contained avenues to proceed. Chapters on linear fractional transformations, harmonic functions, and elliptic functions offer pathways to hyperbolic geometry, automorphic functions, and an intuitive introduction to the Schwarzian derivative. The gamma, beta, and zeta functions lead into \u003ci\u003eL\u003c\/i\u003e-functions, while a chapter on entire functions opens pathways to the Riemann hypothesis and Nevanlinna theory. Cauchy transforms give rise to Hilbert and Fourier transforms, with an emphasis on the connection to complex analysis. Valuable additional topics include Riemann surfaces, steepest descent, tauberian theorems, and the Wiener–Hopf method.\u003c\/p\u003e  \u003cp\u003eShowcasing an array of accessible excursions, \u003ci\u003eExplorations in Complex Functions\u003c\/i\u003e is an ideal companion for graduate students and researchers in analysis and number theory. Instructors will appreciate the many options for constructing a second course in complex analysis that builds on a first course prerequisite; exercises complement the results throughout.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“This is a suitable book with a proper concept at the right time. It is suitable because it shows the beauty, power and profundity of complex analysis, enlightens how many sided it is with all its inspirations and cross-connections to other branches of mathematics.” (Heinrich Begehr, zbMATH 1460.30001, 2021)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eBasics.- Linear Fractional Transformations.- Hyperbolic geometry.- Harmonic Functions.- Conformal maps and the Riemann mapping theorem.- The Schwarzian derivative.- Riemann surfaces and algebraic curves.- Entire functions.- Value distribution theory.- The gamma and beta functions.- The Riemann zeta function.- L-functions and primes.- The Riemann hypothesis.- Elliptic functions and theta functions.- Jacobi elliptic functions.- Weierstrass elliptic functions.- Automorphic functions and Picard's theorem.- Integral transforms.- Theorems of Phragmén–Lindelöf and Paley–Wiener.- Theorems of Wiener and Lévy; the Wiener–Hopf method.- Tauberian theorems.- Asymptotics and the method of steepest descent.- Complex interpolation and the Riesz–Thorin theorem.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743039893847,"sku":"9783030545321","price":52.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030545321.jpg?v=1720063846"},{"product_id":"differentiability-in-banach-spaces-differential-forms-and-applications-9783030778330","title":"Differentiability in Banach Spaces, Differential","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differential form formalism and to address the Stokes' Theorem and its applications. Related to the first part, there is an introduction to the content of Linear Bounded Operators in Banach Spaces with classic examples of compact and Fredholm operators, this aiming to define the derivative of Fréchet and to give examples in Variational Calculus and to extend the results to Fredholm maps. The Inverse Function Theorem is explained in full details to help the reader to understand the proof details and its motivations. The inverse function theorem and applications make up this first part. The text contains an elementary approach to Vector Fields and Flows, including the Frobenius Theorem. The Differential Forms are introduced and applied to obtain the Stokes Theorem and to define De Rham cohomology groups. As an application, the final chapter contains an introduction to the Harmonic Functions and a geometric approach to Maxwell's equations of electromagnetism.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“A specific feature of the book is the abundance of examples from mechanics, physics, calculus of variations, illustrating the abstract concepts introduced in the main text. … There are a lot of exercises spread through the book, some elementary, while others are more advanced. The book can be used as supplementary material for undergraduate or graduate level courses, as well as by the students in physics interested in a mathematical treatment of some important problems in their domain.” (Stefan Cobzaş, zbMATH 1479.46001, 2022)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction.- Chapter 1. Differentiation in R^n.- Chapter 2. Linear Operators in Banach Spaces.- Chapter 3. Differentiation in Banach Spaces.- Chapter 4. Vector Fields.- Chapter 5. Vectors Integration, Potential Theory.- Chapter 6. Differential Forms, Stoke’s Theorem.- Chapter 7. Applications to the Stoke’s Theorem.- Appendix A. Basics of Analysis.- Appendix B. Differentiable Manifolds, Lie Groups.- Appendix C. Tensor Algebra.- Bibliography.- Index.\u003cbr\u003e","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743049363799,"sku":"9783030778330","price":54.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"zero-product-determined-algebras-9783030802417","title":"Zero Product Determined Algebras","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book provides a concise survey of the theory of zero product-determined algebras, which has been developed over the last 15 years. It is divided into three parts. The first part presents the purely algebraic branch of the theory, the second part presents the functional analytic branch, and the third part discusses various applications.\u003c\/p\u003e  \u003cp\u003eThe book is intended for researchers and graduate students in ring theory, Banach algebra theory, and nonassociative algebra.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“This book is about zero product determined algebras and is written in an attractive way. It deals with the introduction and study of this class of algebras. Most of this book is taken from research articles from the last 15 years and is suitable for researchers in this field and students with different backgrounds and can be used for self-study.” (Hoger Ghahramani, Mathematical Reviews, March, 2023)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cb\u003e- \u003c\/b\u003e\u003cb\u003ePart I Algebraic Theory. - \u003c\/b\u003eZero Product Determined Nonassociative Algebras. - Zero Product Determined Rings and Algebras. - Zero Lie\/Jordan Product Determined Algebras. - \u003cb\u003ePart II Analytic Theory.\u003c\/b\u003e - Zero Product Determined Nonassociative Banach Algebras. - Zero Product Determined Banach Algebras. - Zero Lie\/Jordan Product Determined Banach Algebras. - \u003cb\u003ePart III Applications.\u003c\/b\u003e - Homomorphisms and Related Maps. - Derivations and Related Maps. - Miscellany.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743050838359,"sku":"9783030802417","price":49.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"harmonic-analysis-on-the-real-line-a-path-in-the-theory-9783030818913","title":"Harmonic Analysis on the Real Line: A Path in the","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book sketches a path for newcomers into the theory of harmonic analysis on the real line. It presents a collection of both basic, well-known and some less known results that may serve as a background for future research around this topic. Many of these results are also a necessary basis for multivariate extensions. An extensive bibliography, as well as hints to open problems are included. The book can be used as a skeleton for designing certain special courses, but it is also suitable for self-study.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“The book under review takes the reader on a journey along a particular path through the vast landscape of modern harmonic analysis in one real variable. From beginning to end, the text is uniquely flavored by the author’s mathematical interests which provides the reader with a good sense of direction. … The book should be accessible to beginning graduate students in analysis and advanced undergraduates with basic knowledge in real analysis … .” (Joris Roos, zbMATH 1514.42001, 2023)\u003cbr\u003e“This book is very accurately described by its subtitle ‘a path in the theory’. The book is at times a textbook, an introduction to harmonic analysis, an essay, or a survey, or some combination of these. … Some theorems are stated and proved, some are discussed, and others are quickly mentioned. It's not a standard path, but an engaging one, offering insights and connections that are new or not well known.” (‪Charles N. Moore, Mathematical Reviews, September, 2022)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e- Introduction. - Classes of Functions. - Fourier Series. - Fourier Transform. - Hilbert Transform. - Hardy Spaces and their Subspaces. - Hardy Inequalities. - Certain Applications. ","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743052083543,"sku":"9783030818913","price":41.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030818913.jpg?v=1720063899"},{"product_id":"more-almost-impossible-integrals-sums-and-series-a-new-collection-of-fiendish-problems-and-surprising-solutions-9783031212611","title":"More (Almost) Impossible Integrals, Sums, and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book, the much-anticipated sequel to \u003ci\u003e(Almost) Impossible, Integrals, Sums, and Series\u003c\/i\u003e, presents a whole new collection of challenging problems and solutions that are not commonly found in classical textbooks. As in the author’s previous book, these fascinating mathematical problems are shown in new and engaging ways, and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Classical problems are shown in a fresh light, with new, surprising or unconventional ways of obtaining the desired results devised by the author. This book is accessible to readers with a good knowledge of calculus, from undergraduate students to researchers. It will appeal to all mathematical puzzlers who love a good integral or series and aren’t afraid of a challenge.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eChapter 1. Integrals.- Chapter 2. Hints.- Chapter 3. Solutions.- Chapter 4. Sums and Series.- Chapter 5. Hints.- Chapter 6. Solutions.\u003cp\u003e\u003c\/p\u003e","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743076069719,"sku":"9783031212611","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"ergodic-theory-independence-and-dichotomies-9783319498454","title":"Ergodic Theory: Independence and Dichotomies","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. It is organized around the theme of probabilistic and combinatorial independence, and highlights the complementary roles of the asymptotic and the perturbative in its comprehensive treatment of the core concepts of weak mixing, compactness, entropy, and amenability. The more advanced material includes Popa's cocycle superrigidity, the Furstenberg-Zimmer structure theorem, and sofic entropy.\u003cbr\u003e \u003cbr\u003e The structure of the book is designed to be flexible enough to serve a variety of readers. The discussion of dynamics is developed from scratch assuming some rudimentary functional analysis, measure theory, and topology, and parts of the text can be used as an introductory course. Researchers in ergodic theory and related areas will also find the book valuable as a reference.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.- Introduction.- General Framework and Notational Conventions.- Part 1 Weak Mixing Comactness.- Basic Concepts in Ergodic Theory.- Structure Theory for P.M.P. Actions.- Amenability.- Property (T).- Orbit Equivalence Beyond Amenability.- Topological Dynamics.- Tameness and Independence.- Part 2 Entropy.- Entropy for Actions of Amenable Groups.- Entropy for Actions of Sofic Groups.- The f-invariant.- Entropy and Independence.- Algebraic Actions: Expansiveness, Homoclinicity, and Entropy.- Algebraic Actions: Entropy and the Fuglede-Kadison Determinant.- Appendix A. Polish Spaces and Standard Borel Spaces.- Appendix B. Positive Definite Functions and Weak Containment.- Appendix C. Hilbert Modules.- Appendix D. Weakly Almost Periodic Functions.- Appendix E. Gaussian Actions.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743096451415,"sku":"9783319498454","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"open-conformal-systems-and-perturbations-of-transfer-operators-9783319721781","title":"Open Conformal Systems and Perturbations of","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero.  In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more general, and the analysis correspondingly more involved.\u003c\/p\u003e  \u003cp\u003eThe asymptotic existence of escape rates is proved and they are calculated in the context of (finite or infinite) countable alphabets, uniformly contracting conformal graph-directed Markov systems, and in particular, conformal countable alphabet iterated function systems. These results have direct applications to interval maps, rational functions and meromorphic maps. \u003c\/p\u003e  \u003cp\u003eTowards this goal the authors develop, on a purely symbolic level, a theory of singular perturbations of Perron--Frobenius (transfer) operators associated with countable alphabet subshifts of finite type and Hölder continuous summable potentials. This leads to a fairly full account of the structure of the corresponding open dynamical systems and their associated surviving sets.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Introduction.- 2. Singular Perturbations of Classical Original Perron–Frobenius Operators on Countable Alphabet Symbol Spaces.- 3. Symbol Escape Rates and the Survivor Set \u003ci\u003eK(U\u003c\/i\u003e\u003ci\u003e\u003csub\u003en\u003c\/sub\u003e\u003c\/i\u003e\u003ci\u003e).- 4. Escape Rates for Conformal GDMSs and IFSs.- 5. Applications: Escape Rates for Multimodal Maps\u003c\/i\u003e\u003ci\u003eand One-Dimensional Complex Dynamics.\u003c\/i\u003e","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743103168855,"sku":"9783319721781","price":35.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783319721781.jpg?v=1720064124"},{"product_id":"a-chemists-guide-to-density-functional-theory-9783527303724","title":"A Chemist's Guide to Density Functional Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\"Chemists familiar with conventional quantum mechanics will applaud and benefit greatly from this particularly instructive, thorough and clearly written exposition of density functional theory: its basis, concepts, terms, implementation, and performance in diverse applications. Users of DFT for structure, energy, and molecular property computations, as well as reaction mechanism studies, are guided to the optimum choices of the most effective methods. Well done!\"\u003cbr\u003e Paul von Rague Schleyer\u003cbr\u003e \u003cbr\u003e \"A conspicuous hole in the computational chemist's library is nicely filled by this book, which provides a wide-ranging and pragmatic view of the subject.[...It] should justifiably become the favorite text on the subject for practioneers who aim to use DFT to solve chemical problems.\"\u003cbr\u003e J. F. Stanton, J. Am. Chem. Soc.\u003cbr\u003e \u003cbr\u003e \"The authors' aim is to guide the chemist through basic theoretical and related technical aspects of DFT at an easy-to-understand theoretical level. They succeed admirably.\"\u003cbr\u003e P. C. H. Mitchell, Appl. Organomet. Chem.\u003cbr\u003e \u003cbr\u003e \"The authors have done an excellent service to the chemical community. [...] A Chemist's Guide to Density Functional Theory is exactly what the title suggests. It should be an invaluable source of insight and knowledge for many chemists using DFT approaches to solve chemical problems.\"\u003cbr\u003e M. Kaupp, Angew. Chem.\u003cbr\u003e \u003cbr\u003e \u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePART A: THE DEFINITION OF THE MODEL\u003cbr\u003e Elementary Quantum Chemistry\u003cbr\u003e Electron Density and Hole Functions\u003cbr\u003e The Electron Density as Basic Variable: Early Attempts\u003cbr\u003e The Hohenberg-Kohn Theorems\u003cbr\u003e The Kohn-Sham Approach\u003cbr\u003e The Quest for Approximate Exchange-Correlation Functionals\u003cbr\u003e The Basic Machinery of Density Functional Programs\u003cbr\u003e PART B: THE PERFORMANCE OF THE MODEL\u003cbr\u003e Molecular Structures and Vibrational Frequencies\u003cbr\u003e Relative Energies and Thermochemistry\u003cbr\u003e Electric Properties\u003cbr\u003e Magnetic Properties\u003cbr\u003e Hydrogen Bonds and Weakly Bound Systems\u003cbr\u003e Chemical Reactivity: Exploration of Potential Energy Surfaces","brand":"Wiley-VCH Verlag GmbH","offers":[{"title":"Default Title","offer_id":48743115325783,"sku":"9783527303724","price":69.7,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783527303724.jpg?v=1720064176"},{"product_id":"the-analysis-of-linear-partial-differential-operators-ii-differential-operators-with-constant-coefficients-9783540225164","title":"The Analysis of Linear Partial Differential","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eAuthor received the 1962 Fields Medal\u003c\/p\u003e \u003cp\u003eAuthor received the 1988 Wolf Prize (honoring achievemnets of a lifetime)\u003c\/p\u003e \u003cp\u003eAuthor is leading expert in partial differential equations\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews: \u003c\/p\u003e\u003cp\u003e\"...these volumes are excellently written and make for greatly profitable reading. For years to come they will surely be a main reference for anyone wishing to study partial differential operators.\"-- MATHEMATICAL REVIEWS \u003c\/p\u003e\u003cp\u003e\"This volume focuses on linear partial differential operators with constant coefficients … . Each chapter ends with notes on the literature, and there is a large bibliography. … The binding of this softcover reprint seems quite good … . Overall, it is great to have this book back at an affordable price. It really does deserve to be described as a classic.\" (Fernando Q. Gouvêa, MathDL, January, 2005)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eExistence and Approximation of Solutions of Differential Equations.- Interior Regularity of Solutions of Differential Equations.- The Cauchy and Mixed Problems.- Differential Operators of Constant Strength.- Scattering Theory.- Analytic Function Theory and Differential Equations.- Convolution Equations.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":48743129940311,"sku":"9783540225164","price":49.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"operator-functions-and-operator-equations-9789813221260","title":"Operator Functions And Operator Equations","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.e. to equations whose solutions are linear operators. Linear operator equations arise in both mathematical theory and engineering practice. The norm estimates suggested in the book have applications to the theories of ordinary differential, difference, functional-differential and integro-differential equations, as well as to the theories of integral operators and analytic functions. This book provides new tools for specialists in matrix theory and functional analysis. A significant part of the book covers the theory of triangular representations of operators that was developed by L de Branges, M S Brodskii, I C Gohberg, M G Krein, M S Livsic and other mathematicians.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48743297253719,"sku":"9789813221260","price":72.9,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789813221260.jpg?v=1720064978"},{"product_id":"linear-algebra-with-python-theory-and-applications-9789819929504","title":"Linear Algebra with Python: Theory and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis textbook is for those who want to learn linear algebra from the basics. After a brief mathematical introduction, it provides the standard curriculum of linear algebra based on an abstract linear space. It covers, among other aspects: linear mappings and their matrix representations, basis, and dimension; matrix invariants, inner products, and norms; eigenvalues and eigenvectors; and Jordan normal forms. Detailed and self-contained proofs as well as descriptions are given for all theorems, formulas, and algorithms.\u003c\/p\u003e  \u003cp\u003eA unified overview of linear structures is presented by developing linear algebra from the perspective of functional analysis. Advanced topics such as function space are taken up, along with Fourier analysis, the Perron–Frobenius theorem, linear differential equations, the state transition matrix and the generalized inverse matrix, singular value decomposition, tensor products, and linear regression models. These all provide a bridge to more specialized theories based on linear algebra in mathematics, physics, engineering, economics, and social sciences.\u003c\/p\u003e  Python is used throughout the book to explain linear algebra. Learning with Python interactively, readers will naturally become accustomed to Python coding.  By using Python’s libraries NumPy, Matplotlib, VPython, and SymPy,  readers can easily perform large-scale matrix calculations, visualization of calculation results, and symbolic computations.  All the codes in this book can be executed on both Windows and macOS and also on Raspberry Pi.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eMathematics and Python.- Linear Spaces and Linear Mappings.- Basis and Dimension.- Matrices.- Elementary Operations and Matrix Invariants.- Inner Product and Fourier Expansion.- Eigenvalues and Eigenvectors.- Jordan Normal Form and Spectrum.- Dynamical Systems.- Applications and Development of Linear Algebra.","brand":"Springer Verlag, Singapore","offers":[{"title":"Default Title","offer_id":48743302103383,"sku":"9789819929504","price":49.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789819929504.jpg?v=1720065001"},{"product_id":"techniques-in-fractal-geometry-9780471957249","title":"Techniques in Fractal Geometry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eFollowing on from the success of Fractal Geometry: Mathematical Foundations and Applications, this new sequel presents a variety of techniques in current use for studying the mathematics of fractals.   Much of the material presented in this book has come to the fore in recent years.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eMathematical Background.\u003cbr\u003e \u003cbr\u003e Review of Fractal Geometry.\u003cbr\u003e \u003cbr\u003e Some Techniques for Studying Dimension.\u003cbr\u003e \u003cbr\u003e Cookie-cutters and Bounded Distortion.\u003cbr\u003e \u003cbr\u003e The Thermodynamic Formalism.\u003cbr\u003e \u003cbr\u003e The Ergodic Theorem and Fractals.\u003cbr\u003e \u003cbr\u003e The Renewal Theorem and Fractals.\u003cbr\u003e \u003cbr\u003e Martingales and Fractals.\u003cbr\u003e \u003cbr\u003e Tangent Measures.\u003cbr\u003e \u003cbr\u003e Dimensions of Measures.\u003cbr\u003e \u003cbr\u003e Some Multifractal Analysis.\u003cbr\u003e \u003cbr\u003e Fractals and Differential Equations.\u003cbr\u003e \u003cbr\u003e References.\u003cbr\u003e \u003cbr\u003e Index.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":48864653476183,"sku":"9780471957249","price":99.86,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471957249.jpg?v=1722272912"},{"product_id":"introduction-to-hilbert-space-and-the-theory-of-spectral-multiplicity-9780486817330","title":"Introduction to Hilbert Space and the Theory of","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Dover Publications Inc.","offers":[{"title":"Default Title","offer_id":48864744505687,"sku":"9780486817330","price":8.54,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780486817330.jpg?v=1722273043"},{"product_id":"fourier-analysis-9780691113845","title":"Fourier Analysis","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIntended for students with a beginning knowledge of mathematical analysis, this first volume, in a three-part introduction to Fourier analysis, introduces the core areas of mathematical analysis while also illustrating the organic unity between them. It includes numerous examples and applications.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eForeword vii  Preface xi  Chapter 1. The Genesis of Fourier Analysis 1  Chapter 2. Basic Properties of Fourier Series 29  Chapter 3. Convergence of Fourier Series 69  Chapter 4. Some Applications of Fourier Series 100  Chapter 5. The Fourier Transform on R 129  Chapter 6. The Fourier Transform on R d 175  Chapter 7. Finite Fourier Analysis 218  Chapter 8. Dirichlet's Theorem 241  Appendix: Integration 281  Notes and References 299  Bibliography 301  Symbol Glossary 305","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865517830487,"sku":"9780691113845","price":74.8,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691113845.jpg?v=1722274353"},{"product_id":"creating-symmetry-9780691161730","title":"Creating Symmetry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks--a sort of potato-stamp method--Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes, and wallpaper patterns: dazzli\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eHonorable Mention for the 2016 PROSE Award in Mathematics, Association of American Publishers \"[A] beautifully illustrated guide to fusing mathematical and artistic creativity to generate fascinating and visually appealing designs.\"--Evelyn Lamb, Scientific American \"[A] beautiful book... [Creating Symmetry] is a thoughtful, innovative and interesting piece of work, discussing material that the author is obviously very enthusiastic about; such enthusiasm is, as is often the case, contagious.\"--Mark Hunacek, MAA Reviews \"This is a marvelous book that brings groups, and along the way many other mathematical concepts, to the reader in an unconventional way.\"--Adhemar Bultheel, European Mathematical Society Bulletin \"Mathematics students thus get a visually rich path into group theory that compellingly informs even first steps with ideas usually deemed advanced. Braver art students will find motivation and the means to learn some mathematics they can put right to use.\"--D. V. Feldman, Choice \"[A] delightful showcase of artistic applications of complex wave functions... This attractive book will appeal to and inspire a broad range of practitioners including complex analysts, mathematical artists, and advanced undergraduates.\"--Heidi Burgiel, College Mathematics Journal\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface vii  1 Going in Circles 1  2 Complex Numbers and Rotations 5  3 Symmetry of the Mystery Curve 11  4 Mathematical Structures and Symmetry: Groups, Vector Spaces, and More 17  5 Fourier Series: Superpositions of Waves 24  6 Beyond Curves: Plane Functions 34  7 Rosettes as Plane Functions 40  8 Frieze Functions (from Rosettes!) 50  9 Making Waves 60  10 PlaneWave Packets for 3-Fold Symmetry 66  11 Waves, Mirrors, and 3-Fold Symmetry 74  12 Wallpaper Groups and 3-Fold Symmetry 81  13 ForbiddenWallpaper Symmetry: 5-Fold Rotation 88  14 Beyond 3-Fold Symmetry: Lattices, Dual Lattices, andWaves 93  15 Wallpaper with a Square Lattice 97  16 Wallpaper with a Rhombic Lattice 104  17 Wallpaper with a Generic Lattice 109  18 Wallpaper with a Rectangular Lattice 112  19 Color-ReversingWallpaper Functions 120  20 Color-Turning Wallpaper Functions 131  21 The Point Group and Counting the 17 141  22 Local Symmetry in Wallpaper and Rings of Integers 157  23 More about Friezes 168  24 Polyhedral Symmetry (in the Plane?) 172  25 HyperbolicWallpaper 189  26 Morphing Friezes and Mathematical Art 200  27 Epilog 206  A Cell Diagrams for the 17 Wallpaper Groups 209  B Recipes forWallpaper Functions 211  C The 46 Color-ReversingWallpaper Types 215  Bibliography 227  Index 229","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865530544471,"sku":"9780691161730","price":27.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691161730.jpg?v=1722274416"},{"product_id":"an-introduction-to-the-uncertainty-principle-hardy-s-theorem-on-lie-groups-217-progress-in-mathematics-9780817643300","title":"An Introduction to the Uncertainty Principle","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn particular, if f and j are x2 x 2 2 2 both O(e- \/ ), then f = j = Ae- \/ , where A is a constant;\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"This nicely written book by Thangavelu is concerned with extensions of Hardy's theorem to settings that arise from noncommutative harmonic analysis.... Each chapter contains several applications to the heat equation in various settings and ends with an extensive presentation of related topics, current research, detailed references to the literature, and lists of open problems. This makes the book an invaluable resource for graduate students and researchers in harmonic analysis and applied mathematics.\"\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003e—SIAM Review\u003c\/strong\u003e\u003c\/p\u003e \u003cp\u003e\"…Each chapter ends with useful notes and open problems. Everything is written in sufficient detail to benefit specialized interested readers…\" \u003c\/p\u003e \u003cp\u003e\u003cstrong\u003e—MATHEMATICAL REVIEWS\u003c\/strong\u003e\u003c\/p\u003e \u003cp\u003e\"The authoer discusses inthe present book the original theorem of Hardy and some of its generaliztions and its connections to noncommunitave analysis, harmonic analysis and special functions. First Hardy's theorem for the Euclidian Fourier transform is treated, and a theorem of Beurling and Hömander Subsequently Hardy's theorem is dicussed for the Fourier transfom on the Heisenberg group. finally the author discusses generaliztions of Hardy's theorem involving the Helgason Fourier transform for rank one symmetric spaces and for H-type groups. This unique book will be of great value for readers interested in this branch of analysis.\"\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003e---Monatshefte für Mathematik\u003c\/strong\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1 Euclidean Spaces.- 1.1 Fourier transform on L1(?n).- 1.2 Hermite functions and L2 theory.- 1.3 Spherical harmonics and symmetry properties.- 1.4 Hardy’s theorem on ?n.- 1.5 Beurling’s theorem and its consequences.- 1.6 Further results and open problems.- 2 Heisenberg Groups.- 2.1 Heisenberg group and its representations.- 2.2 Fourier transform on Hn.- 2.3 Special Hermite functions.- 2.4 Fourier transform of radial functions.- 2.5 Unitary group and spherical harmonics.- 2.6 Spherical harmonics and the Weyl transform.- 2.7 Weyl correspondence of polynomials.- 2.8 Heat kernel for the sublaplacian.- 2.9 Hardy’s theorem for the Heisenberg group.- 2.10 Further results and open problems.- 3 Symmetric Spaces of Rank 1.- 3.1 A Riemannian space associated to Hn.- 3.2 The algebra of radial functions on S.- 3.3 Spherical Fourier transform.- 3.4 Helgason Fourier transform.- 3.5 Hecke-Bochner formula for the Helgason Fourier transform.- 3.6 Jacobi transforms.- 3.7 Estimating the heat kernel.- 3.8 Hardy’s theorem for the Helgason Fourier transform.- 3.9 Further results and open problems.","brand":"Birkhauser Boston Inc","offers":[{"title":"Default Title","offer_id":48884696514903,"sku":"9780817643300","price":80.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780817643300.jpg?v=1722533068"},{"product_id":"asymptotic-behavior-an-overview-9781536172225","title":"Asymptotic Behavior: An Overview","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eAsymptotic Behavior: An Overview is designed to provide the reader with an exposition of some aspects of the oscillation theory of first order delay partial dynamic equations on time scales. Oscillation theory of differential equations, originated from the monumental paper of C. Sturm published in 1836, has now been recognized as an important branch of mathematical analysis from both theoretical and practical viewpoints. Asymptotic behavior in the deep Euclidean region of momenta for four-dimensional models of quantum field theory is studied through the system of Schwinger-Dyson equations. This system is truncated by a sequence of n-particle approximations in which n → ∞ goes into the complete system of Schwinger-Dyson equations. Lastly, the authors discuss the exact analytical solution of the Schrödinger equation corresponding to the hydrogen atom confined by four spherical potentials: infinite potential, parabolic potential, constant potential, and dielectric continuum.","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886161047895,"sku":"9781536172225","price":62.04,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781536172225.jpg?v=1722539037"},{"product_id":"nonlinear-functional-analysis-applications-volume-2-9781619420601","title":"Nonlinear Functional Analysis \u0026 Applications:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886926639447,"sku":"9781619420601","price":86.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781619420601.jpg?v=1722542198"},{"product_id":"functional-analysis-9783031275364","title":"Functional Analysis","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis textbook provides an introduction to functional analysis suitable for lecture courses to final year undergraduates or beginning graduates.   Starting from the very basics of metric spaces, the book adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, including the spectral theorem, the Gelfand transform, and Banach algebras. Various applications, such as least squares approximation, inverse problems, and Tikhonov regularization, illustrate the theory. Over 1000 worked examples and exercises of varying difficulty present the reader with ample material for reflection.   This new edition of Functional Analysishas been completely revised and corrected, withmany passages rewritten for clarity, numerous arguments simplified, and a good amount of new material added, including new examples and exercises. The prerequisites, however, remain the same with only knowledge of linear algebra and real analysis of a singlevariable assumed of the reader.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48889016451415,"sku":"9783031275364","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031275364.jpg?v=1722552279"},{"product_id":"structure-of-hilbert-space-operators-9789812566164","title":"Structure Of Hilbert Space Operators","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book exposes the internal structure of non-self-adjoint operators acting on complex separable infinite dimensional Hilbert space, by analyzing and studying the commutant of operators. A unique presentation of the theorem of Cowen-Douglas operators is given. The authors take the strongly irreducible operator as a basic model, and find complete similarity invariants of Cowen-Douglas operators by using K-theory, complex geometry and operator algebra tools.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48890202882391,"sku":"9789812566164","price":88.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789812566164.jpg?v=1722557937"},{"product_id":"schaums-outline-of-laplace-transforms-9780070602311","title":"Schaums Outline of Laplace Transforms","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eConfusing Textbooks? Missed Lectures? Not Enough Time?\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003eFortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. \u003c\/p\u003e\u003cp\u003e\u003cb\u003eThis Schaum's Outline gives you\u003c\/b\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003ePractice problems with full explanations that reinforce knowledge\u003c\/li\u003e\n\u003cli\u003eCoverage of the most up-to-date developments in your course field\u003c\/li\u003e\n\u003cli\u003eIn-depth review of practices and applications\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eFully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!\u003c\/p\u003e\u003cp\u003eSchaum's Outlines-Problem Solved.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eThe Laplace Transform.The Inverse Laplace Transform.Applications to Differential Equations.Applications to Integral and Difference Equations.Complex Variable Theory.Fourier Series and Integrals.The Complex Inversion Formula.Applications to Boundary-Value Problems.Appendix A: Table of General Properties of Laplace Transforms.Appendix B: Table of Special Laplace Transforms.Appendix C: Table of Special Functions.","brand":"McGraw-Hill Education - Europe","offers":[{"title":"Default Title","offer_id":49083346780503,"sku":"9780070602311","price":23.79,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780070602311.jpg?v=1725548622"},{"product_id":"functional-analysis-9781906574673","title":"Functional Analysis","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"New Academic Science Ltd","offers":[{"title":"Default Title","offer_id":49084602712407,"sku":"9781906574673","price":30.0,"currency_code":"GBP","in_stock":true}]},{"product_id":"advanced-techniques-with-block-matrices-of-operators-9783031645457","title":"Advanced Techniques with Block Matrices of","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book introduces several powerful techniques and fundamental ideas involving block matrices of operators, as well as matrices with elements in a C*-algebra.","brand":"Birkhauser Verlag AG","offers":[{"title":"Default Title","offer_id":49372692349271,"sku":"9783031645457","price":39.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031645457.jpg?v=1730163831"},{"product_id":"sequence-spaces-and-summability-over-valued-fields-9780367236625","title":"Sequence Spaces and Summability Over Valued","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eSequence spaces and summability over valued fields is a research book aimed at research scholars, graduate students and teachers with an interest in Summability Theory both Classical (Archimedean) and Ultrametric (non-Archimedean).\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe book presents theory and methods in the chosen topic, spread over 8 chapters that seem to be important at research level in a still developing topic.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eKey Features\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003ePresented in a self-contained manner\u003c\/li\u003e\n\u003cli\u003eProvides examples and counterexamples in the relevant contexts\u003c\/li\u003e\n\u003cli\u003eProvides extensive references at the end of each chapter to enable the reader to do further research in the topic\u003c\/li\u003e\n\u003cli\u003ePresented in the same book, a comparative study of Archimedean and non-Archimedean Summability Theory\u003c\/li\u003e\n\u003cli\u003eAppeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eThe book is written by a very experienced educator and researcher in Mat\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eAbout the Author. Foreword. Preface. Preliminaries. On Certain Spaces Containing the Space of Cauchy Sequences. Matrix Transformations Between Some Other Sequence Spaces. Characterization of Regular and Schur Matrices. A Study of the Sequence Space c0(p). On the Sequence Spaces `(p), c0(p), c(p), `1(p) over Non-archimedean Fields. A Characterization of the Matrix Class (`1; c0) and Summability Matrices of Type M in Non-archimedean Analysis. More Steinhaus Type Theorems over Valued Fields. Index.\u003c\/p\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":49401880805719,"sku":"9780367236625","price":104.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780367236625.jpg?v=1730478783"},{"product_id":"theoretical-foundations-of-functional-data-analysis-with-an-introduction-to-linear-operators-9780470016916","title":"Theoretical Foundations of Functional Data","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e?? Provides a concise but rigorous account of the theoretical background of FDA.     ?? Introduces topics in various areas of mathematics, probability and statistics from the perspective of FDA.     ?? Presents a systematic exposition of the fundamental statistical issues in FDA.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface xi \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Multivariate analysis in a nutshell 2\u003c\/p\u003e \u003cp\u003e1.2 The path that lies ahead 13\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Vector and function spaces 15\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Metric spaces 16\u003c\/p\u003e \u003cp\u003e2.2 Vector and normed spaces 20\u003c\/p\u003e \u003cp\u003e2.3 Banach and \u003ci\u003eL\u003c\/i\u003ep spaces 26\u003c\/p\u003e \u003cp\u003e2.4 Inner Product and Hilbert spaces 31\u003c\/p\u003e \u003cp\u003e2.5 The projection theorem and orthogonal decomposition 38\u003c\/p\u003e \u003cp\u003e2.6 Vector integrals 40\u003c\/p\u003e \u003cp\u003e2.7 Reproducing kernel Hilbert spaces 46\u003c\/p\u003e \u003cp\u003e2.8 Sobolev spaces 55\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Linear operator and functionals 61\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Operators 62\u003c\/p\u003e \u003cp\u003e3.2 Linear functionals 66\u003c\/p\u003e \u003cp\u003e3.3 Adjoint operator 71\u003c\/p\u003e \u003cp\u003e3.4 Nonnegative, square-root, and projection operators 74\u003c\/p\u003e \u003cp\u003e3.5 Operator inverses 77\u003c\/p\u003e \u003cp\u003e3.6 Fréchet and Gâteaux derivatives 83\u003c\/p\u003e \u003cp\u003e3.7 Generalized Gram–Schmidt decompositions 87\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Compact operators and singular value decomposition 91\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Compact operators 92\u003c\/p\u003e \u003cp\u003e4.2 Eigenvalues of compact operators 96\u003c\/p\u003e \u003cp\u003e4.3 The singular value decomposition 103\u003c\/p\u003e \u003cp\u003e4.4 Hilbert–Schmidt operators 107\u003c\/p\u003e \u003cp\u003e4.5 Trace class operators 113\u003c\/p\u003e \u003cp\u003e4.6 Integral operators and Mercer’s Theorem 116\u003c\/p\u003e \u003cp\u003e4.7 Operators on an RKHS 123\u003c\/p\u003e \u003cp\u003e4.8 Simultaneous diagonalization of two nonnegative definite operators 126\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Perturbation theory 129\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Perturbation of self-adjoint compact operators 129\u003c\/p\u003e \u003cp\u003e5.2 Perturbation of general compact operators 140\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Smoothing and regularization 147\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Functional linear model 147\u003c\/p\u003e \u003cp\u003e6.2 Penalized least squares estimators 150\u003c\/p\u003e \u003cp\u003e6.3 Bias and variance 157\u003c\/p\u003e \u003cp\u003e6.4 A computational formula 158\u003c\/p\u003e \u003cp\u003e6.5 Regularization parameter selection 161\u003c\/p\u003e \u003cp\u003e6.6 Splines 165\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Random elements in a Hilbert space 175\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Probability measures on a Hilbert space 176\u003c\/p\u003e \u003cp\u003e7.2 Mean and covariance of a random element of a Hilbert space 178\u003c\/p\u003e \u003cp\u003e7.3 Mean-square continuous processes and the Karhunen–Lòeve Theorem 184\u003c\/p\u003e \u003cp\u003e7.4 Mean-square continuous processes in \u003ci\u003eL\u003c\/i\u003e2 (E,B(E), mu) 190\u003c\/p\u003e \u003cp\u003e7.5 RKHS valued processes 195\u003c\/p\u003e \u003cp\u003e7.6 The closed span of a process 198\u003c\/p\u003e \u003cp\u003e7.7 Large sample theory 203\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Mean and covariance estimation 211\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Sample mean and covariance operator 212\u003c\/p\u003e \u003cp\u003e8.2 Local linear estimation 214\u003c\/p\u003e \u003cp\u003e8.3 Penalized least-squares estimation 231\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Principal components analysis 251\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Estimation via the sample covariance operator 253\u003c\/p\u003e \u003cp\u003e9.2 Estimation via local linear smoothing 255\u003c\/p\u003e \u003cp\u003e9.3 Estimation via penalized least squares 261\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Canonical correlation analysis 265\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 CCA for random elements of a Hilbert space 267\u003c\/p\u003e \u003cp\u003e10.2 Estimation 274\u003c\/p\u003e \u003cp\u003e10.3 Prediction and regression 281\u003c\/p\u003e \u003cp\u003e10.4 Factor analysis 284\u003c\/p\u003e \u003cp\u003e10.5 MANOVA and discriminant analysis 288\u003c\/p\u003e \u003cp\u003e10.6 Orthogonal subspaces and partial cca 294\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Regression 305\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 A functional regression model 305\u003c\/p\u003e \u003cp\u003e11.2 Asymptotic theory 308\u003c\/p\u003e \u003cp\u003e11.3 Minimax optimality 318\u003c\/p\u003e \u003cp\u003e11.4 Discretely sampled data 321\u003c\/p\u003e \u003cp\u003eReferences 327\u003c\/p\u003e \u003cp\u003eIndex 331\u003c\/p\u003e \u003cp\u003eNotation Index 334\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402255737175,"sku":"9780470016916","price":62.65,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780470016916.jpg?v=1730479852"},{"product_id":"the-hilbert-transform-of-schwartz-distributions-and-applications-9780471033738","title":"The Hilbert Transform of Schwartz Distributions","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book provides a modern and up-to-date treatment of the Hilberttransform of distributions and the space of periodic distributions.Taking a simple and effective approach to a complex subject, thisvolume is a first-rate textbook at the graduate level as well as anextremely useful reference for mathematicians, applied scientists,and engineers.\u003cbr\u003e \u003cbr\u003e The author, a leading authority in the field, shares with thereader many new results from his exhaustive research on the Hilberttransform of Schwartz distributions. He describes in detail how touse the Hilbert transform to solve theoretical and physicalproblems in a wide range of disciplines; these include aerofoilproblems, dispersion relations, high-energy physics, potentialtheory problems, and others.\u003cbr\u003e \u003cbr\u003e Innovative at every step, J. N. Pandey provides a new definitionfor the Hilbert transform of periodic functions, which isespecially useful for those working in the area of signalprocessing for computational purposes. This defini\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eThe Riemann-Hilbert Problem.\u003cbr\u003e \u003cbr\u003e The Hilbert Transform of Distributions in D'Lp, 1 p infinity.\u003cbr\u003e \u003cbr\u003e The Hilbert Transform of Schwartz Distributions.\u003cbr\u003e \u003cbr\u003e n-Dimensional Hilbert Transform.\u003cbr\u003e \u003cbr\u003e Further Applications of the Hilbert Transform, the HilbertProblem-- A Distributional Approach.\u003cbr\u003e \u003cbr\u003e Periodic Distributions, Their Hilbert Transform andApplications.\u003cbr\u003e \u003cbr\u003e Bibliography.\u003cbr\u003e \u003cbr\u003e Indexes.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402479804759,"sku":"9780471033738","price":160.16,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471033738.jpg?v=1730480533"},{"product_id":"fourier-series-and-optical-transform-techniques-in-contemporary-optics-9780471303572","title":"Fourier Series and Optical Transform Techniques","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eFourier Series and Optical Transform Techniques in ContemporaryOptics\u003cbr\u003e \u003cbr\u003e An Introduction\u003cbr\u003e \u003cbr\u003e For anyone new to Fourier methods, this remarkable book willilluminate the subject like no other currently available. With over280 illustrations generated by computer graphics, it depicts in3-space (rather than the usual 2-space) the many basic functions ofoptical diffraction and imaging. These mind-stretchingvisualizations give the reader an enhanced understanding of bothFourier transform techniques and key principles in optics. At thesame time, the author provides a lucid text that covers wavenotation, the Fourier analysis of signals, the processing of lightin diffraction phenomena and imaging, Zernicke polynomials, Fouriertransforms for Fresnel diffraction, laser beacon adaptive optics,and related topics.\u003cbr\u003e \u003cbr\u003e Ideal for self-teaching, this book is highly recommended forworking engineers, technical staff, students of physical optics andsignal analysis, and Fourier novices in al\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePartial table of contents:\u003cbr\u003e \u003cbr\u003e Some of the How and Why of Fourier Analysis.\u003cbr\u003e \u003cbr\u003e Fourier Series and Spectra in One-Dimension for Functions of FinitePeriod.\u003cbr\u003e \u003cbr\u003e Fourier Series and Spectra for Functions of Infinite Period;\u003cbr\u003e One Dimensional.\u003cbr\u003e \u003cbr\u003e Fourier Spectra for Non-Periodic Functions;\u003cbr\u003e One-Dimensional.\u003cbr\u003e \u003cbr\u003e The Diffraction of Light and Fourier Transforms in TwoDimensions.\u003cbr\u003e \u003cbr\u003e A Brief Summary of Linear Systems Theory Applied to OpticalImaging.\u003cbr\u003e \u003cbr\u003e Fourier Optical Transformations by Computer.\u003cbr\u003e \u003cbr\u003e Apodization and Super-Resolution, Phase from Shift, and MultipleApertures.\u003cbr\u003e \u003cbr\u003e Complex Apertures.\u003cbr\u003e \u003cbr\u003e Operations in the Fourier Transform Plane.\u003cbr\u003e \u003cbr\u003e Other Interesting and Related Topics.\u003cbr\u003e \u003cbr\u003e References.\u003cbr\u003e \u003cbr\u003e A Selected Bibliography.\u003cbr\u003e \u003cbr\u003e Index.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402560020823,"sku":"9780471303572","price":155.66,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471303572.jpg?v=1730480753"},{"product_id":"vector-integration-48-pure-and-applied-mathematics-a-wiley-series-of-texts-monographs-and-tracts-9780471377382","title":"Vector Integration 48 Pure and Applied","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eA breakthrough approach to the theory and applications of stochastic integration The theory of stochastic integration has become an intensely studied topic in recent years, owing to its extraordinarily successful application to financial mathematics, stochastic differential equations, and more.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"...an important tool...gives the newest results in this field...shows an important application of vector integration...\" (Bulletin of the Belgian Mathematical Society, Vol 11(1), 2004)\u003cbr\u003e \u003cbr\u003e \"...it can be expected that...just like the author's 1967 volume, this book will stimulate further research on vector stochastic integration and can serve as a graduate-level reference work.\" (Mathematical Reviews Issue 2001h)\u003cbr\u003e \u003cbr\u003e \"Dense, detailed, comprehensive introduction. Contains...material only found before in journals...\" (American Mathematical Monthly, March 2002)\u003cbr\u003e \u003cbr\u003e \"...a highly technical book.\" (The Mathematical Gazette, March 2002)\u003cbr\u003e \u003cbr\u003e \"The author of this important and interesting book is a well-known specialist on vector measures.\" (Zentralblatt Math, Vol.974, No. 24 2001)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eVector Integration.\u003cbr\u003e \u003cbr\u003e The Stochastic Integral.\u003cbr\u003e \u003cbr\u003e Martingales.\u003cbr\u003e \u003cbr\u003e Processes with Finite Variation.\u003cbr\u003e \u003cbr\u003e Processes with Finite Semivariation.\u003cbr\u003e \u003cbr\u003e The Itô Formula.\u003cbr\u003e \u003cbr\u003e Stochastic Integration in the Plane.\u003cbr\u003e \u003cbr\u003e Two-Parameter Martingales.\u003cbr\u003e \u003cbr\u003e Two-Parameter Processes with Finite Variation.\u003cbr\u003e \u003cbr\u003e Two-Parameter Processes with Finite Semivariation.\u003cbr\u003e \u003cbr\u003e References.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402577715543,"sku":"9780471377382","price":170.06,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471377382.jpg?v=1730480820"},{"product_id":"topics-in-complex-function-theory-volume-3-9780471504016","title":"Topics in Complex Function Theory Volume 3","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eDevelops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular functions in several variables. The last topic originates with the author and appears here for the first time in book form.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eABELIAN FUNCTIONS.\u003cbr\u003e \u003cbr\u003e Power Series in Several Variables.\u003cbr\u003e \u003cbr\u003e The Preparation Theorem.\u003cbr\u003e \u003cbr\u003e Regular Functions.\u003cbr\u003e \u003cbr\u003e Meromorphic Functions.\u003cbr\u003e \u003cbr\u003e The Theorem of Weierstrass and Cousin.\u003cbr\u003e \u003cbr\u003e The Period Group.\u003cbr\u003e \u003cbr\u003e Jacobian Functions.\u003cbr\u003e \u003cbr\u003e Linearization of the Exponent System.\u003cbr\u003e \u003cbr\u003e The Period Relations.\u003cbr\u003e \u003cbr\u003e The Reduced Exponent System.\u003cbr\u003e \u003cbr\u003e Existence Proofs.\u003cbr\u003e \u003cbr\u003e Picard Varieties.\u003cbr\u003e \u003cbr\u003e The Addition Theorem.\u003cbr\u003e \u003cbr\u003e MODULAR FUNCTIONS OF SEVERAL VARIABLES.\u003cbr\u003e \u003cbr\u003e Automorphic Functions of Several Variables.\u003cbr\u003e \u003cbr\u003e Algebraic Relations Between Automorphic Functions.\u003cbr\u003e \u003cbr\u003e Symplectic Geometry.\u003cbr\u003e \u003cbr\u003e Abelian Functions and Modular Functions.\u003cbr\u003e \u003cbr\u003e The Fundamental Region of the Modular Group.\u003cbr\u003e \u003cbr\u003e Modular Forms.\u003cbr\u003e \u003cbr\u003e The Field of Modular Functions.\u003cbr\u003e \u003cbr\u003e Algebraic Dependence.\u003cbr\u003e \u003cbr\u003e Bibliography.\u003cbr\u003e \u003cbr\u003e Cumulative Index Volumes I, II, and III.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402620576087,"sku":"9780471504016","price":147.56,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471504016.jpg?v=1730481001"},{"product_id":"functional-analysis-9780471556046","title":"Functional Analysis","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIncludes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"...an excellent source of facts for anyone working in functional analysis or operator theory.\" (Journal of Operator Theory, Vol.53, No.1, 2005)\u003cbr\u003e \u003cbr\u003e \"For years Lax has been counted among the world's very top people in PDEs, so no serious student can afford to ignore his view of the foundations leading up to that subject.\" (Choice, Vol. 40, No. 4, December 2002)\u003cbr\u003e \u003cbr\u003e \"...attractive...well suited for graduate courses...and useful for research mathematicians.\" (Mathematical Reviews, 2003a)\u003cbr\u003e \u003cbr\u003e \"...The book is highly recommended to all students of analysis\". (Zentralblatt MATH, Vol.1009, No.9, 2003)\u003cbr\u003e \u003cbr\u003e \"A lot of good material, doled out in short chapters.\" (American Mathematical Monthly, August\/September 2003)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eForeword.\u003cbr\u003e \u003cbr\u003e Linear Spaces.\u003cbr\u003e \u003cbr\u003e Linear Maps.\u003cbr\u003e \u003cbr\u003e The Hahn-Banach Theorem.\u003cbr\u003e \u003cbr\u003e Applications of the Hahn-Banach Theorem.\u003cbr\u003e \u003cbr\u003e Normed Linear Spaces.\u003cbr\u003e \u003cbr\u003e Hilbert Space.\u003cbr\u003e \u003cbr\u003e Applications of Hilbert Space Results.\u003cbr\u003e \u003cbr\u003e Duals of Normed Linear Space.\u003cbr\u003e \u003cbr\u003e Applications of Duality.\u003cbr\u003e \u003cbr\u003e Weak Convergence.\u003cbr\u003e \u003cbr\u003e Applications of Weak Convergence.\u003cbr\u003e \u003cbr\u003e The Weak and Weak* Topologies.\u003cbr\u003e \u003cbr\u003e Locally Convex Topologies and the Krein-Milman Theorem.\u003cbr\u003e \u003cbr\u003e Examples of Convex Sets and their Extreme Points.\u003cbr\u003e \u003cbr\u003e Bounded Linear Maps.\u003cbr\u003e \u003cbr\u003e Examples of Bounded Linear Maps.\u003cbr\u003e \u003cbr\u003e Banach Algebras and their Elementary Spectral Theory.\u003cbr\u003e \u003cbr\u003e Gelfand's Theory of Commutative Banach Algebras.\u003cbr\u003e \u003cbr\u003e Applications of Gelfand's Theory of Commutative Banach Algebras.\u003cbr\u003e \u003cbr\u003e Examples of Operators and their Spectra.\u003cbr\u003e \u003cbr\u003e Compact Maps.\u003cbr\u003e \u003cbr\u003e Examples of Compact Operators.\u003cbr\u003e \u003cbr\u003e Positive Compact Operators.\u003cbr\u003e \u003cbr\u003e Fredholm's Theory of Integral Equations.\u003cbr\u003e \u003cbr\u003e Invariant Subspaces.\u003cbr\u003e \u003cbr\u003e Harmonic Analysis on a Halfline.\u003cbr\u003e \u003cbr\u003e Index Theory.\u003cbr\u003e \u003cbr\u003e Compact Symmetric Operators in Hilbert Space.\u003cbr\u003e \u003cbr\u003e Examples of Compact Symmetric Operators.\u003cbr\u003e \u003cbr\u003e Trace Class and Trace Formula.\u003cbr\u003e \u003cbr\u003e Spectral Theory of Symmetric, Normal and Unitary Operators.\u003cbr\u003e \u003cbr\u003e Spectral Theory of Self-Adjoint Operators.\u003cbr\u003e \u003cbr\u003e Examples of Self-Adjoint Operators.\u003cbr\u003e \u003cbr\u003e Semigroups of Operators.\u003cbr\u003e \u003cbr\u003e Groups of Unitary Operators.\u003cbr\u003e \u003cbr\u003e Examples of Strongly Continuous Semigroups.\u003cbr\u003e \u003cbr\u003e Scattering Theory.\u003cbr\u003e \u003cbr\u003e A Theorem of Beurling.\u003cbr\u003e \u003cbr\u003e Appendix A: The Riesz-Kakutani Representation Theorem.\u003cbr\u003e \u003cbr\u003e Appendix B: Theory of Distributions.\u003cbr\u003e \u003cbr\u003e Appendix C: Zorn's Lemma.\u003cbr\u003e \u003cbr\u003e Author Index.\u003cbr\u003e \u003cbr\u003e Subject Index.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402631094615,"sku":"9780471556046","price":98.06,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471556046.jpg?v=1730481049"},{"product_id":"the-fractional-fourier-transform-with-applications-in-optics-and-signal-processing-wiley-series-in-pure-and-applied-optics-39-9780471963462","title":"The Fractional Fourier Transform with","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe discovery of the Fractional Fourier Transform and its role in optics provides an elegant mathematical framework within which to discuss diffraction and other fundamental aspects of optical systems. Easily-accessible, the reference work will serve as the standard reference on Fourier Transforms for many years to come.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"...[the authors] explain the basic concepts from various perspectives and survey its application in two areas where it is widely used.\" (SciTech Book News, Vol. 25, No. 4, December 2001)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.\u003cbr\u003e \u003cbr\u003e Acknowledgments.\u003cbr\u003e \u003cbr\u003e Introduction.\u003cbr\u003e \u003cbr\u003e Signals, Systems, and Transformations.\u003cbr\u003e \u003cbr\u003e Wigner Distributions and Linear Canonical Transforms.\u003cbr\u003e \u003cbr\u003e The Fractional Fourier Transform.\u003cbr\u003e \u003cbr\u003e Time-Order and Space-Order Representations.\u003cbr\u003e \u003cbr\u003e The Discrete Fractional Fourier Transform.\u003cbr\u003e \u003cbr\u003e Optical Signals and Systems.\u003cbr\u003e \u003cbr\u003e Phase-Space Optics.\u003cbr\u003e \u003cbr\u003e The Fractional Fourier Transform in Optics.\u003cbr\u003e \u003cbr\u003e Applications of the Fractional Fourier Transform to Filtering, Estimation, and Signal Recovery.\u003cbr\u003e \u003cbr\u003e Applications of the Fractional Fourier Transform to Matched Filtering, Detection, and Pattern Recognition.\u003cbr\u003e \u003cbr\u003e Bibliography on the Fractional Fourier Transform.\u003cbr\u003e \u003cbr\u003e Other Cited Works.\u003cbr\u003e \u003cbr\u003e Credits.\u003cbr\u003e \u003cbr\u003e Index.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402696368471,"sku":"9780471963462","price":162.85,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471963462.jpg?v=1730481265"},{"product_id":"elliptic-partial-differential-equations-and-quasiconformal-mappings-in-the-plane-9780691137773","title":"Elliptic Partial Differential Equations and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eExplores developments in the theory of planar quasiconformal mappings with a focus on the interactions with partial differential equations and nonlinear analysis. This book presents a modern approach to the classical theory and features applications across a spectrum of mathematics such as dynamical systems and singular integral operators.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"The nature of the writing is impressive, and any library owning this volume, and other volumes of he series, will be a rich library indeed. This book can work out well as a text for further study at higher graduate level and beyond. For many a mathematician, it works well as a collection of enjoyable chapters; and most importantly, it can comfortably serve well as a reference resource and study material. They will be grateful to the publishers and the authors, for the volume includes a wealth of interesting and useful information on many important topics in the subject... In short, a scintillating volume, full of detailed and thought-provoking contributions. Readers who bring to this book a reasonably strong background of the topics treated in the volume and an open mind will be well rewarded.\"--Current Engineering Practice\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e*FrontMatter, pg. i*Contents, pg. vii*Preface, pg. xv*Chapter 1. Introduction, pg. 1*Chapter 2. A Background In Conformal Geometry, pg. 12*Chapter 3. The Foundations Of Quasiconformal Mappings, pg. 48*Chapter 4. Complex Potentials, pg. 92*Chapter 5. The Measurable Riemann Mapping Theorem: The Existence Theory Of Quasiconformal Mappings, pg. 161*Chapter 6. Parameterizing General Linear Elliptic Systems, pg. 195*Chapter 7. The Concept Of Ellipticity, pg. 210*Chapter 8. Solving General Nonlinear First-Order Elliptic Systems, pg. 235*Chapter 9. Nonlinear Riemann Mapping Theorems, pg. 259*Chapter 10. Conformal Deformations And Beltrami Systems, pg. 275*Chapter 11. A Quasilinear Cauchy Problem, pg. 289*Chapter 12. Holomorphic Motions, pg. 293*Chapter 13. Higher Integrability, pg. 316*Chapter 14. Lp-Theory Of Beltrami Operators, pg. 362*Chapter 15. Schauder Estimates For Beltrami Operators, pg. 389*Chapter 16. Applications To Partial Differential Equations, pg. 403*Chapter 17. PDEs Not Of Divergence Type: Pucci'S Conjecture, pg. 472*Chapter 18. Quasiconformal Methods In Impedance Tomography: Calderon's Problem, pg. 490*Chapter 19. Integral Estimates For The Jacobian, pg. 514*Chapter 20. Solving The Beltrami Equation: Degenerate Elliptic Case, pg. 527*Chapter 21. Aspects Of The Calculus Of Variations, pg. 586*Appendix: Elements Of Sobolev Theory And Function Spaces, pg. 624*Basic Notation, pg. 643*Bibliography, pg. 647*Index, pg. 671","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49403762016599,"sku":"9780691137773","price":100.3,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691137773.jpg?v=1730484464"},{"product_id":"frechet-differentiability-of-lipschitz-functions-and-porous-sets-in-banach-spaces-9780691153568","title":"Fréchet Differentiability of Lipschitz Functions","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eFocuses on the difficult question of existence of Frchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. This book provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz functions.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"The book is well written--as one would expect from its distinguished authors, including the late Joram Lindestrauss (1936-2012). It contains many fascinating and profound results. It no doubt will become an important resource for anyone who is seriously interested in the differentiability of functions between Banach spaces.\"--J. Borwein and Liangjin Yao, Mathematical Reviews Clippings \"[T]his is a very deep and complete study on the differentiability of Lipschitz mappings between Banach spaces, an unavoidable reference for anyone seriously interested in this topic.\"--Daniel Azagra, European Mathematical Society \"We should be grateful to (the late) Joram Lindenstrauss, David Preiss, and Jaroslav Tiser for providing us with this splendid book which dives into the deepest fields of functional analysis, where the basic but still strange operation called differentiation is investigated. More than a century after Lebesgue, our understanding is not complete. But thanks to the contribution of these three authors, and thanks to this book, we know a fair share of beautiful theorems and challenging problems.\"--Gilles Godefroy, Bulletin of the American Mathematical Society\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e*FrontMatter, pg. i*Contents, pg. vii*Chapter One: Introduction, pg. 1*Chapter Two: Gateaux differentiability of Lipschitz functions, pg. 12*Chapter Three: Smoothness, convexity, porosity, and separable determination, pg. 23*Chapter Four: epsilon-Frechet differentiability, pg. 46*Chapter Five: GAMMA-null and GAMMAn-null sets, pg. 72*Chapter Six: Ferchet differentiability except for GAMMA-null sets, pg. 96*Chapter Seven: Variational principles, pg. 120*Chapter Eight: Smoothness and asymptotic smoothness, pg. 133*Chapter Nine: Preliminaries to main results, pg. 156*Chapter Ten: Porosity, GAMMAn- and GAMMA-null sets, pg. 169*Chapter Eleven: Porosity and epsilon-Frechet differentiability, pg. 202*Chapter Twelve: Frechet differentiability of real-valued functions, pg. 222*Chapter Thirteen: Frechet differentiability of vector-valued functions, pg. 262*Chapter Fourteen: Unavoidable porous sets and nondifferentiable maps, pg. 319*Chapter Fifteen: Asymptotic Frechet differentiability, pg. 355*Chapter Sixteen: Differentiability of Lipschitz maps on Hilbert spaces, pg. 392*Bibliography, pg. 415*Index, pg. 419*Index of Notation, pg. 423","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49403789181271,"sku":"9780691153568","price":74.8,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691153568.jpg?v=1730484547"},{"product_id":"riemann-surfaces-9780691626123","title":"Riemann Surfaces","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface, methods of construction, topological equivalence, and conformal mappings of one Riemann surface on another. The analytic part is concerned with the existence and properties of functions that have a special charac\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e*Frontmatter, pg. i*Preface, pg. v*Contents, pg. vii*Chapter I. Surface Topology, pg. 1*Chapter II. Riemann Surfaces, pg. 112*Chapter III. Harmonic Functions on Riemann Surfaces, pg. 148*Chapter IV. Classification Theory, pg. 196*Chapter V. Differentials on Riemann Surfaces, pg. 265*Bibliography, pg. 332*Index, pg. 374","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49403980808535,"sku":"9780691626123","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691626123.jpg?v=1730485068"},{"product_id":"handbook-of-realtime-fast-fourier-transforms-9780780310919","title":"Handbook of RealTime Fast Fourier Transforms","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.\u003cbr\u003e \u003cbr\u003e Overview.\u003cbr\u003e \u003cbr\u003e The Discrete Fourier Transform.\u003cbr\u003e \u003cbr\u003e The Fast Fourier Transform.\u003cbr\u003e \u003cbr\u003e Weighting Functions.\u003cbr\u003e \u003cbr\u003e Frequency Analysis.\u003cbr\u003e \u003cbr\u003e Linear Filtering and Pattern Matching.\u003cbr\u003e \u003cbr\u003e Multidimentional Processing.\u003cbr\u003e \u003cbr\u003e Building-Block Algorithms.\u003cbr\u003e \u003cbr\u003e Algorithm Construction.\u003cbr\u003e \u003cbr\u003e Arithmetic Building Blocks for Architectures.\u003cbr\u003e \u003cbr\u003e Multiprocessor Architectures.\u003cbr\u003e \u003cbr\u003e Algorithm and Data Mappings.\u003cbr\u003e \u003cbr\u003e Arithmetic Formats.\u003cbr\u003e \u003cbr\u003e Chips.\u003cbr\u003e \u003cbr\u003e Board Decisions and Selection.\u003cbr\u003e \u003cbr\u003e Test.\u003cbr\u003e \u003cbr\u003e Design Examples.\u003cbr\u003e \u003cbr\u003e Glossary.\u003cbr\u003e \u003cbr\u003e Appendix: Table of Comparison Matrices.\u003cbr\u003e \u003cbr\u003e Index.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49404987507031,"sku":"9780780310919","price":161.95,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780780310919.jpg?v=1730488292"},{"product_id":"ramanujans-lost-notebook-part-iv-9781461440802","title":"Ramanujans Lost Notebook Part IV","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIts discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony.\u003cp\u003eThis volume is the fourth of five volumes that the authors plan to write on Ramanujan’s lost notebook.​ In contrast to the first three books on Ramanujan's Lost Notebook, the fourth book does not focus on q-series.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface.- ​​​1 Introduction.- 2 Double Series of Bessel Functions and the Circle and Divisor Problems.- 3 Koshliakov's Formula and Guinand's Formula.- 4 Theorems Featuring the Gamma Function.- 5 Hypergeometric Series.- 6 Euler's Constant.- 7 Problems in Diophantine Approximation.- 8 Number Theory.- 9 Divisor Sums.- 10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions.- 11 Two Partial Unpublished Manuscripts on Sums Involving Primes.- 12 Infinite Series.- 13 A Partial Manuscript on Fourier and Laplace Transforms.- 14 Integral Analogues of Theta Functions adn Gauss Sums.- 15 Functional Equations for Products of Mellin Transforms.- 16 Infinite Products.- 17 A Preliminary Version of Ramanujan's Paper, On the Integral ∫_0^x tan^(-1)t)\/t dt.- 18 A Partial Manuscript Connected with Ramanujan's Paper, Some Definite Integrals.- 19 Miscellaneous Results in Analysis.- 20 Elementary Results.- 21 A Strange, Enigmatic Partial Manuscript.-  Location Guide.- Provenance.- References.- Index.\u003c\/p\u003e","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":49408624394583,"sku":"9781461440802","price":97.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781461440802.jpg?v=1730503582"},{"product_id":"free-probability-and-random-matrices-35-fields-institute-monographs-9781493969418","title":"Free Probability and Random Matrices 35 Fields","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“This book is an excellent survey, respectively introduction, into recent developments in free probability theory and its applications to random matrices. The authors superbly guide the reader through a number of important examples and present a carefully selected list of 207 relevant publications.” (Ludwig Paditz, zbMATH 1387.60005, 2018)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Asymptotic Freeness of Gaussian Random Matrices.- 2. The Free Central Limit Theorem and Free Cumulants.- 3. Free Harmonic Analysis.- 4. Asymptotic Freeness.- 5. Second Order Freeness.- 6. Free Group Factors and Freeness.- 7. Free Entropy X-the Microstates Approach via Large Deviations.- Free Entropy X*-the Non-Microstates Approach via Free Fisher Information.- 9. Operator-Valued Free Probability Theory and Block Random Matrices.- 10. Polynomials in Free Variables and Operator-Valued Convolution.- 11. Brown Measure.- Solutions to Exercises.- References.- Index of Exercises.","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":49409211203927,"sku":"9781493969418","price":89.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781493969418.jpg?v=1730505954"},{"product_id":"banach-frechet-hilbert-and-neumann-spaces-9781786300096","title":"Banach, Fréchet, Hilbert and Neumann Spaces","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from physics.\u003c\/p\u003e \u003cp\u003eIts focus is on normed or semi-normed vector spaces, including the spaces of Banach, Fréchet and Hilbert, with new developments on Neumann spaces, but also on extractable spaces.\u003c\/p\u003e \u003cp\u003eThe author presents the main properties of these spaces, which are useful for the construction of Lebesgue and Sobolev distributions with real or vector values and for solving partial differential equations. Differential calculus is also extended to semi-normed spaces.\u003c\/p\u003e \u003cp\u003eSimple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students – doctoral students, postgraduate students – engineers and researchers without restricting or generalizing the results.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eIntroduction xi\u003c\/p\u003e \u003cp\u003eFamiliarization with Semi-normed Spaces xv\u003c\/p\u003e \u003cp\u003eNotations xvii\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1 Prerequisites 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Sets, mappings, orders 1\u003c\/p\u003e \u003cp\u003e1.2 Countability 3\u003c\/p\u003e \u003cp\u003e1.3 Construction of R 4\u003c\/p\u003e \u003cp\u003e1.4 Properties of R 5\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 1 Semi-normed Spaces 9\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2 Semi-normed Spaces 11\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Definition of semi-normed spaces 11\u003c\/p\u003e \u003cp\u003e2.2 Convergent sequences 15\u003c\/p\u003e \u003cp\u003e2.3 Bounded, open and closed sets 17\u003c\/p\u003e \u003cp\u003e2.4 Interior, closure, balls and semi-balls 21\u003c\/p\u003e \u003cp\u003e2.5 Density, separability 23\u003c\/p\u003e \u003cp\u003e2.6 Compact sets 25\u003c\/p\u003e \u003cp\u003e2.7 Connected and convex sets 30\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3 Comparison of Semi-normed Spaces 33\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Equivalent families of semi-norms 33\u003c\/p\u003e \u003cp\u003e3.2 Topological equalities and inclusions 34\u003c\/p\u003e \u003cp\u003e3.3 Topological subspaces 39\u003c\/p\u003e \u003cp\u003e3.4 Filtering families of semi-norms 43\u003c\/p\u003e \u003cp\u003e3.5 Sums of sets 46\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4 Banach, Fréchet and Neumann Spaces 49\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Metrizable spaces 49\u003c\/p\u003e \u003cp\u003e4.2 Properties of sets in metrizable spaces 51\u003c\/p\u003e \u003cp\u003e4.3 Banach, Fréchet and Neumann spaces 55\u003c\/p\u003e \u003cp\u003e4.4 Compacts sets in Fréchet spaces 57\u003c\/p\u003e \u003cp\u003e4.5 Properties of R 58\u003c\/p\u003e \u003cp\u003e4.6 Convergent sequences 60\u003c\/p\u003e \u003cp\u003e4.7 Sequential completion of a semi-normed space 62\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5 Hilbert Spaces 65\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Hilbert spaces 65\u003c\/p\u003e \u003cp\u003e5.2 Projection in a Hilbert space 68\u003c\/p\u003e \u003cp\u003e5.3 The space R\u003csup\u003ed\u003c\/sup\u003e 70\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6 Product, Intersection, Sum and Quotient of Spaces 73\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Product of semi-normed spaces 73\u003c\/p\u003e \u003cp\u003e6.2 Product of a semi-normed space by itself 78\u003c\/p\u003e \u003cp\u003e6.3 Intersection of semi-normed spaces 80\u003c\/p\u003e \u003cp\u003e6.4 Sum of semi-normed spaces 83\u003c\/p\u003e \u003cp\u003e6.5 Direct sum of semi-normed spaces 89\u003c\/p\u003e \u003cp\u003e6.6 Quotient space 93\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 2 Continuous Mappings 95\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7 Continuous Mappings 97\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Continuous mappings 97\u003c\/p\u003e \u003cp\u003e7.2 Continuity and change of topology or restriction 100\u003c\/p\u003e \u003cp\u003e7.3 Continuity of composite mappings 102\u003c\/p\u003e \u003cp\u003e7.4 Continuous semi-norms 102\u003c\/p\u003e \u003cp\u003e7.5 Continuous linear mappings 104\u003c\/p\u003e \u003cp\u003e7.6 Continuous multilinear mappings 107\u003c\/p\u003e \u003cp\u003e7.7 Some continuous mappings 111\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8 Images of Sets Under Continuous Mappings 115\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Images of open and closed sets 115\u003c\/p\u003e \u003cp\u003e8.2 Images of dense, separable and connected sets 117\u003c\/p\u003e \u003cp\u003e8.3 Images of compact sets 119\u003c\/p\u003e \u003cp\u003e8.4 Images under continuous linear mappings 121\u003c\/p\u003e \u003cp\u003e8.5 Continuous mappings in compact sets 123\u003c\/p\u003e \u003cp\u003e8.6 Continuous real mappings 124\u003c\/p\u003e \u003cp\u003e8.7 Compacting mappings 125\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 9 Properties of Mappings in Metrizable Spaces 129\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Continuous mappings in metrizable spaces 129\u003c\/p\u003e \u003cp\u003e9.2 Banach’s fixed point theorem 133\u003c\/p\u003e \u003cp\u003e9.3 Baire’s theorem 134\u003c\/p\u003e \u003cp\u003e9.4 Open mapping theorem 136\u003c\/p\u003e \u003cp\u003e9.5 Banach–Schauder’s continuity theorem 138\u003c\/p\u003e \u003cp\u003e9.6 Closed graph theorem 139\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 10 Extension of Mappings, Equicontinuity 141\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Extension of equalities by continuity 141\u003c\/p\u003e \u003cp\u003e10.2 Continuous extension of mappings 142\u003c\/p\u003e \u003cp\u003e10.3 Equicontinuous families of mappings 146\u003c\/p\u003e \u003cp\u003e10.4 Banach–Steinhaus equicontinuity theorem 148\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 11 Compactness in Mapping Spaces 153\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 The spaces F(X; F) and C(X; F)-pt 153\u003c\/p\u003e \u003cp\u003e11.2 Zorn’s lemma 154\u003c\/p\u003e \u003cp\u003e11.3 Compactness in F(X; F) 157\u003c\/p\u003e \u003cp\u003e11.4 An Ascoli compactness theorem in C(X; F)-pt 161\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 12 Spaces of Linear or Multilinear Mappings 163\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 The space L(E; F) 163\u003c\/p\u003e \u003cp\u003e12.2 Bounded sets in L(E; F) 165\u003c\/p\u003e \u003cp\u003e12.3 Sequential completeness of L(E; F) when E is metrizable 167\u003c\/p\u003e \u003cp\u003e12.4 Semi-norms and norm on L(E; F) when E isnormed 169\u003c\/p\u003e \u003cp\u003e12.5 Continuity of the composition of linear mappings 171\u003c\/p\u003e \u003cp\u003e12.6 Inversibility in the neighborhood of an isomorphism 174\u003c\/p\u003e \u003cp\u003e12.7 The space L\u003csup\u003ed\u003c\/sup\u003e(E\u003csub\u003e1\u003c\/sub\u003e × ··· × E\u003csub\u003ed\u003c\/sub\u003e; F) 178\u003c\/p\u003e \u003cp\u003e12.8 Separation of the variables of a multilinear mapping 181\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 3 Weak Topologies 187\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 13 Duality 189\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Dual 189\u003c\/p\u003e \u003cp\u003e13.2 Dual of a metrizable or normed space 193\u003c\/p\u003e \u003cp\u003e13.3 Dual of a Hilbert space 196\u003c\/p\u003e \u003cp\u003e13.4 Extraction of ∗ weakly converging subsequences 199\u003c\/p\u003e \u003cp\u003e13.5 Continuity of the bilinear form of duality 203\u003c\/p\u003e \u003cp\u003e13.6 Dual of a product 205\u003c\/p\u003e \u003cp\u003e13.7 Dual of a direct sum 206\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 14 Dual of a Subspace 209\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Hahn–Banach theorem 209\u003c\/p\u003e \u003cp\u003e14.2 Corollaries of the Hahn–Banach theorem 211\u003c\/p\u003e \u003cp\u003e14.3 Characterization of a dense subspace 212\u003c\/p\u003e \u003cp\u003e14.4 Dual of a subspace 213\u003c\/p\u003e \u003cp\u003e14.5 Dual of an intersection 215\u003c\/p\u003e \u003cp\u003e14.6 Dangerous identifications 216\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 15 Weak Topology 221\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Weak topology 221\u003c\/p\u003e \u003cp\u003e15.2 Weak continuity and topological inclusions 224\u003c\/p\u003e \u003cp\u003e15.3 Weak topology of a product 225\u003c\/p\u003e \u003cp\u003e15.4 Weak topology of an intersection 226\u003c\/p\u003e \u003cp\u003e15.5 Norm and semi-norms of a weak limit 228\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 16 Properties of Sets for the Weak Topology 231\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Banach–Mackey theorem (weakly bounded sets) 231\u003c\/p\u003e \u003cp\u003e16.2 Gauge of a convex open set 233\u003c\/p\u003e \u003cp\u003e16.3 Mazur’s theorem (weakly closed convex sets) 235\u003c\/p\u003e \u003cp\u003e16.4 ˘Smulian’s theorem (weakly compact sets) 237\u003c\/p\u003e \u003cp\u003e16.5 Semi-weak continuity of a bilinear mapping 240\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 17 Reflexivity 243\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Reflexive spaces 243\u003c\/p\u003e \u003cp\u003e17.2 Sequential completion of a semi-reflexive space 247\u003c\/p\u003e \u003cp\u003e17.3 Prereflexivity of metrizable spaces 248\u003c\/p\u003e \u003cp\u003e17.4 Reflexivity of Hilbert spaces 250\u003c\/p\u003e \u003cp\u003e17.5 Reflexivity of uniformly convex Banach spaces 252\u003c\/p\u003e \u003cp\u003e17.6 A property of the combinations of linear forms 256\u003c\/p\u003e \u003cp\u003e17.7 Characterizations of semi-reflexivity 257\u003c\/p\u003e \u003cp\u003e17.8 Reflexivity of a subspace 261\u003c\/p\u003e \u003cp\u003e17.9 Reflexivity of the image of a space 261\u003c\/p\u003e \u003cp\u003e17.10 Reflexivity of the dual 263\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 18 Extractable Spaces 265\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1 Extractable spaces 265\u003c\/p\u003e \u003cp\u003e18.2 Extractability of Hilbert spaces 266\u003c\/p\u003e \u003cp\u003e18.3 Extractability of semi-reflexive spaces 267\u003c\/p\u003e \u003cp\u003e18.4 Extractability of a subspace or of the image of a space 269\u003c\/p\u003e \u003cp\u003e18.5 Extractability of a product or of a sum of spaces 270\u003c\/p\u003e \u003cp\u003e18.6 Extractability of an intersection of spaces 271\u003c\/p\u003e \u003cp\u003e18.7 Sequential completion of extractable spaces 271\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 4 Differential Calculus 273\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 19 Differentiable Mappings 275\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19.1 Differentiable mappings 275\u003c\/p\u003e \u003cp\u003e19.2 Differentiality, continuity and linearity 277\u003c\/p\u003e \u003cp\u003e19.3 Differentiation and change of topology or restriction 279\u003c\/p\u003e \u003cp\u003e19.4 Mean value theorem 281\u003c\/p\u003e \u003cp\u003e19.5 Bounds on a real differentiable mapping 284\u003c\/p\u003e \u003cp\u003e19.6 Differentiation of a composite mapping 286\u003c\/p\u003e \u003cp\u003e19.7 Differential of an inverse mapping 289\u003c\/p\u003e \u003cp\u003e19.8 Inverse mapping theorem 290\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 20 Differentiation of Multivariable Mappings 295\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e20.1 Partial differentiation 295\u003c\/p\u003e \u003cp\u003e20.2 Differentiation of a multilinear or multi-component mapping 298\u003c\/p\u003e \u003cp\u003e20.3 Differentiation of a composite multilinear mapping 300\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 21 Successive Differentiations 303\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e21.1 Successive differentiations 303\u003c\/p\u003e \u003cp\u003e21.2 Schwarz’s symmetry principle 305\u003c\/p\u003e \u003cp\u003e21.3 Successive differentiations of a composite mapping 308\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 22 Derivation of Functions of One Real Variable 313\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e22.1 Derivative of a function of one real variable 313\u003c\/p\u003e \u003cp\u003e22.2 Derivative of a real function of one real variable 315\u003c\/p\u003e \u003cp\u003e22.3 Leibniz formula 319\u003c\/p\u003e \u003cp\u003e22.4 Derivatives of the power, logarithm and exponential functions 320\u003c\/p\u003e \u003cp\u003eBibliography 325\u003c\/p\u003e \u003cp\u003eCited Authors 331\u003c\/p\u003e \u003cp\u003eIndex 335\u003c\/p\u003e","brand":"ISTE Ltd and John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49412270195031,"sku":"9781786300096","price":125.06,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781786300096.jpg?v=1730516213"},{"product_id":"geometric-aspects-of-functional-analysis-israel-seminar-gafa-2017-2019-volume-ii-9783030467616","title":"Geometric Aspects of Functional Analysis: Israel","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eContinuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest examples of regularity and order in high dimensions. Central to the text is the study of the Poincaré and log-Sobolev functional inequalities, their reverses, and other inequalities, in which a crucial role is often played by convexity assumptions such as Log-Concavity. The concept and properties of Entropy form an important subject, with Bourgain's slicing problem and its variants drawing much attention. Constructions related to Convexity Theory are proposed and revisited, as well as inequalities that go beyond the Brunn–Minkowski theory. One of the major current research directions addressed is the identification of lower-dimensional structures with remarkable properties in rather arbitrary high-dimensional objects. In addition to functional analytic results, connections to Computer Science and to Differential Geometry are also discussed. \u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e- Jean Bourgain: In Memoriam. - A Generalized Central Limit Conjecture for Convex Bodies. - The Lower Bound for Koldobsky’s Slicing Inequality via Random Rounding. - Two-Sided Estimates for Order Statistics of Log-Concave Random Vectors. - Further Investigations of Rényi Entropy Power Inequalities and an Entropic Characterization of s-Concave Densities. - Small Ball Probability for the Condition Number of Random Matrices. - Concentration of the Intrinsic Volumes of a Convex Body. - Two Remarks on Generalized Entropy Power Inequalities. - On the Geometry of Random Polytopes. - Reciprocals and Flowers in Convexity. - Moments of the Distance Between Independent Random Vectors. - The Alon–Milman Theorem for Non-symmetric Bodies. - An Interpolation Proof of Ehrhard’s Inequality. - Bounds on Dimension Reduction in the Nuclear Norm. - High-Dimensional Convex Sets Arising in Algebraic Geometry. - Polylog Dimensional Subspaces of lN\/∞. - On a Formula for the Volume of Polytopes.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415621411159,"sku":"9783030467616","price":43.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030467616.jpg?v=1730527547"},{"product_id":"complex-semisimple-quantum-groups-and-representation-theory-9783030524623","title":"Complex Semisimple Quantum Groups and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q-deformation of a complex semisimple Lie group.\u003c\/p\u003e  \u003cp\u003e The main components are:\u003c\/p\u003e  \u003cp\u003e-   a thorough introduction to quantized universal enveloping algebras over general base fields and generic deformation parameters, including finite dimensional representation theory, the Poincaré-Birkhoff-Witt Theorem, the locally finite part, and the Harish-Chandra homomorphism,\u003c\/p\u003e  \u003cp\u003e-   the analytic theory of quantized complex semisimple Lie groups in terms of quantized algebras of functions and their duals,\u003c\/p\u003e  \u003cp\u003e-   algebraic representation theory in terms of category O, and\u003c\/p\u003e  \u003cp\u003e-   analytic representation theory of quantized complex semisimple groups.\u003c\/p\u003e  \u003cp\u003e Given its scope, the book will be a valuable resource for both graduate students and researchers in the area of quantum groups.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“The book is largely self-contained. … It is highly recommended for mathematicians of all levels wishing to learn about these topics, in the algebraic setting and\/or in the analytic setting.” (Huafeng Zhang, zbMATH 1514.20006, 2023)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e- Introduction. - Multiplier Hopf Algebras. - Quantized Universal Enveloping Algebras. - Complex Semisimple Quantum Groups. - Category O. - Representation Theory of Complex Semisimple Quantum Groups. ","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415622820183,"sku":"9783030524623","price":49.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030524623.jpg?v=1730527552"},{"product_id":"point-process-calculus-in-time-and-space-an-introduction-with-applications-9783030627522","title":"Point Process Calculus in Time and Space: An","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book provides an introduction to the theory and applications of point processes, both in time and in space. Presenting the two components of point process calculus, the martingale calculus and the Palm calculus, it aims to develop the computational skills needed for the study of stochastic models involving point processes, providing enough of the general theory for the reader to reach a technical level sufficient for most applications. \u003c\/p\u003e\u003cp\u003eClassical and not-so-classical models are examined in detail, including Poisson–Cox, renewal, cluster and branching (Kerstan–Hawkes) point processes.The applications covered in this text (queueing, information theory, stochastic geometry and signal analysis) have been chosen not only for their intrinsic interest but also because they illustrate the theory. \u003c\/p\u003e\u003cp\u003eWritten in a rigorous but not overly abstract style, the book will be accessible to earnest beginners with a basic training in probability but will also interest upper graduate students and experienced researchers.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eIntroduction.- Generalities.- Poisson Process on the Line.- Spatial Poisson Processes.- Renewal and Regenerative Processes.- Point Processes with a Stochastic Intensity.- Exvisible Intensity of Finite Point Processes.- Palm Probability on the Line.- Palm Probability in Space.- The Power Spectral Measure.- Information Content of Point Processes.- Point Processes in Queueing.- Hawkes Point Processes.- Appendices.- Bibliography.- Index. \u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415626293591,"sku":"9783030627522","price":104.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030627522.jpg?v=1730527564"},{"product_id":"excursions-in-harmonic-analysis-volume-6-in-honor-of-john-benedetto-s-80th-birthday-9783030696368","title":"Excursions in Harmonic Analysis, Volume 6: In","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eJohn J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. The chapters in this volume – compiled on the occasion of his 80\u003csup\u003eth\u003c\/sup\u003e birthday – are written by leading researchers in the field and pay tribute to John’s many significant and lasting achievements. Covering a wide range of topics in harmonic analysis and related areas, these chapters are organized into four main parts: harmonic analysis, wavelets and frames, sampling and signal processing, and compressed sensing and optimization. An introductory chapter also provides a brief overview of John’s life and mathematical career. This volume will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eJohn Benedetto's mathematical work.- Absolute continuity and the Banach-Zaretsky Theorem.- Spectral Synthesis and H1(R).- Universal Upper Bound on the Blowup Rate of Nonlinear Schrodinger Equation with Rotation.- Almost Eigenvalues and Eigenvectors of Almost Mathieu Operators.- Spatio-spectral limiting on rendundant cubes: A case study.- A notion of optimal packings of subspaces with mix-rank and solutions.- Construction of Frames Using Calderon-Zygmund Operator Theory.- Equiangular frames and their duals.- Wavelet sets for crystallographic groups.- Discrete Translates in Function Spaces.- Local-to-global frames and applications to the dynamical sampling problem.- Signal analysis using Born-Jordan-type Distributions.- Sampling by averages and average splines on Dirichlet spaces and on combinatorial graphs.- Dynamical Sampling: a view from Control Theory.- Linear Multiscale Transforms Based on Even-Reversible Subdivision Operators.- Sparsity-Based MIMO Radars.- Robust width: A Characterization of uniformly stable and robust compressed sensing.- On best uniform affine approximants of convex or concave real valued functions from RK, Chebyshev equioscillation and graphics.- A Kaczmarz Algorithm for Solving Tree Based Distributed Systems of Equations.- Maximal function pooling with applications.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415630389591,"sku":"9783030696368","price":87.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030696368.jpg?v=1730527579"},{"product_id":"geometric-aspects-of-harmonic-analysis-9783030720575","title":"Geometric Aspects of Harmonic Analysis","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis volume originated in talks given in Cortona at the conference \"Geometric aspects of harmonic analysis\" held in honor of the 70th birthday of Fulvio Ricci. It presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest mathematicians working in these areas. The subjects dealt with are topics of current interest in closely interrelated areas of Fourier analysis, singular integral operators, oscillatory integral operators, partial differential equations, multilinear harmonic analysis, and several complex variables.\u003cbr\u003eThe work is addressed to researchers in the field.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e- An Extension Problem and Hardy Type Inequalities for the Grushin Operator. - Sharp Local Smoothing Estimates for Fourier Integral Operators. - On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective. - Potential Spaces on Lie Groups. - On Fourier Restriction for Finite-Type Perturbations of the Hyperbolic Paraboloid. - On Young’s Convolution Inequality for Heisenberg Groups. - Young’s Inequality Sharpened. - Strongly Singular Integrals on Stratified Groups. - Singular Brascamp–Lieb: A Survey. - On the Restriction of Laplace–Beltrami Eigenfunctions and Cantor-Type Sets. - Basis Properties of the Haar System in Limiting Besov Spaces. - Obstacle Problems Generated by the Estimates of Square Function. - Of Commutators and Jacobians. - On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415631667543,"sku":"9783030720575","price":127.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030720575.jpg?v=1730527583"},{"product_id":"advances-in-matrix-inequalities-9783030760465","title":"Advances in Matrix Inequalities","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis self-contained monograph unifies theorems, applications and problem solving techniques of matrix inequalities. In addition to the frequent use of methods from Functional Analysis, Operator Theory, Global Analysis, Linear Algebra, Approximations Theory, Difference and Functional Equations and more, the reader will also appreciate techniques of classical analysis and algebraic arguments, as well as combinatorial methods.  Subjects such as operator Young inequalities, operator inequalities for positive linear maps, operator inequalities involving operator monotone functions, norm inequalities, inequalities for sector matrices are investigated thoroughly throughout this book which provides an account of a broad collection of classic and recent developments. Detailed proofs for all the main theorems and relevant technical lemmas are presented, therefore interested graduate and advanced undergraduate students will find the book particularly accessible. In addition to several areas of theoretical mathematics, Matrix Analysis is applicable to a broad spectrum of disciplines including operations research, mathematical physics, statistics, economics, and engineering disciplines. It is hoped that graduate students as well as researchers in mathematics, engineering, physics, economics and other interdisciplinary areas will find the combination of current and classical results and operator inequalities presented within this monograph particularly useful.\u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“The book is written in a readable style and provides several interesting and nice techniques. It is very useful for graduate students and researchers interested in operator and norm inequalities.” (Mohammad Sal Moslehian, Mathematical Reviews, June, 2023)\u003c\/p\u003e\u003cbr\u003eThe book contains a bibliography of over 200 items and … the many inequalities presented, usually with full proofs provided. … if you are looking for an inequality in the areas covered, then this should be a useful source.” (John D. Dixon, zbMATH 1477.15001, 2022)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e1. Elementary linear algebra review.- 2. Interpolating the arithmetic-geometric mean inequality and its operator version.- 3. Operator inequalities for positive linear maps.- 4. Operator inequalities involving operator monotone functions.- 5. Inequalities for sector matrices.- 6. Positive partial transpose matrix inequalities.- References.- Index.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415636287831,"sku":"9783030760465","price":82.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030760465.jpg?v=1730527604"},{"product_id":"transcendence-in-algebra-combinatorics-geometry-and-number-theory-trans19-transient-transcendence-in-transylvania-brasov-romania-may-13-17-2019-revised-and-extended-contributions-9783030843038","title":"Transcendence in Algebra, Combinatorics, Geometry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrobenius action on a hypergeometric curve and an algorithm for computing values of Dwork’s p-adic hypergeometric functions (Asakura).- A Matrix version of Dwork’s Congruences (Beukers).- On the kernel curves associated with walks in the quarter plane (Singer).- A survey on the hypertranscendence of the solutions of the Schröder's, Böttcher's and Abel's equations (Fernandes).- Hodge structures and differential operators (Vlasenko).- Beck-type identities for Euler pairs of order (Welch et al.).- Quarter-plane lattice paths with interacting boundaries: the Kreweras and reverse Kreweras models (Xu et al.).- Infinite product formulae for generating functions for sequences of squares (Radu et al.).- A theta identity of Gauss connecting functions from additive and multiplicative number theory (Merca).- Combinatorial quantum field theory and the Jacobian conjecture (Tanasa).- How regular are regular singularities? (Hauser).- Néron desingularization of extensions of valuation rings with an appendix by kęstutis česnavičius (Popescu).- Diagonal Representation of Algebraic Power Series: A Glimpse Behind the Scenes (Yurkevich).- Proof of chudnovskys’ hypergeometric series for 1\/π using weber modular polynomials (Guillera).-Computing an order-complete basis for m∞(n) and applications (Radu et al.).- An algorithm to prove holonomic differential equations for modular forms (Radu et al.).- A case study for ζ(4) (zudilin et al.).- Support of an algebraic series as the range of a recursive sequence (bell).- X-coordinates of pell equations in various sequences (luca).- A conditional proof of the leopoldt conjecture for cm fields (mihailescu).- Siegel’s problem for e-functions of order 2  (Roques et al.).- Irrationality and Transcendence of Alternating Series Via Continued Fractions (Snowdow).- On the transcendence of critical hecke l-values (sprang).\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49415647920471,"sku":"9783030843038","price":119.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030843038.jpg?v=1730527643"},{"product_id":"pseudo-monotone-operator-theory-for-unsteady-problems-with-variable-exponents-9783031296697","title":"Pseudo-Monotone Operator Theory for Unsteady","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(.,.)-Navier–Stokes equations describing the motion of an incompressible electro-rheological fluid. Due to the variable dependence of the power-law index p(.,.) in this system, the classical weak existence analysis based on the pseudo-monotone operator theory in the framework of Bochner–Lebesgue spaces is not applicable. As a substitute for Bochner–Lebesgue spaces, variable Bochner–Lebesgue spaces are introduced and analyzed. In the mathematical framework of this substitute, the theory of pseudo-monotone operators is extended to unsteady problems with variable exponents, leading to the weak solvability of the unsteady p(.,.)-Navier–Stokes equations under general assumptions.\u003cp\u003eAimed primarily at graduate readers, the book develops the material step-by-step, starting with the basics of PDE theory and non-linear functional analysis. The concise introductions at the beginning of each chapter, together with illustrative examples, graphics, detailed derivations of all results and a short summary of the functional analytic prerequisites, will ease newcomers into the subject.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e- 1. Introduction. - 2. Preliminaries. - \u003cb\u003ePart I Main Part.\u003c\/b\u003e - 3. Variable Bochner–Lebesgue Spaces. - 4. Solenoidal Variable Bochner–Lebesgue Spaces. - 5. Existence Theory for Lipschitz Domains. - \u003cb\u003ePart II Extensions\u003c\/b\u003e. - 6. Pressure Reconstruction. - 7. Existence Theory for Irregular Domains. - 8. Existence Theory for p- \u0026lt; 2. - 9. Appendix.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":49415706149207,"sku":"9783031296697","price":41.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031296697.jpg?v=1730527852"}],"url":"https:\/\/bookcurl.com\/collections\/functional-analysis-and-transforms.oembed?page=13","provider":"Book Curl","version":"1.0","type":"link"}