Functional analysis and transforms Books
Springer Nature Switzerland AG Excursions in Harmonic Analysis, Volume 6: In
Book SynopsisJohn 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 80th 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.Table of ContentsJohn 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.
£87.99
Springer Nature Switzerland AG Geometric Aspects of Harmonic Analysis
Book SynopsisThis 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.The work is addressed to researchers in the field.Table of Contents- 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.
£127.99
Springer Nature Switzerland AG Advances in Matrix Inequalities
Book SynopsisThis 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.Trade Review“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)The 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)Table of Contents1. 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.
£82.49
Springer Nature Switzerland AG Transcendence in Algebra, Combinatorics, Geometry
Book SynopsisThis 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.Table of ContentsFrobenius 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).
£119.99
Springer International Publishing AG Analysis and Quantum Groups
Book SynopsisThis volume presents a completely self-contained introduction to the elaborate theory of locally compact quantum groups, bringing the reader to the frontiers of present-day research. The exposition includes a substantial amount of material on functional analysis and operator algebras, subjects which in themselves have become increasingly important with the advent of quantum information theory. In particular, the rather unfamiliar modular theory of weights plays a crucial role in the theory, due to the presence of ‘Haar integrals’ on locally compact quantum groups, and is thus treated quite extensively The topics covered are developed independently, and each can serve either as a separate course in its own right or as part of a broader course on locally compact quantum groups. The second part of the book covers crossed products of coactions, their relation to subfactors and other types of natural products such as cocycle bicrossed products, quantum doubles and doublecrossed products. Induced corepresentations, Galois objects and deformations of coactions by cocycles are also treated. Each section is followed by a generous supply of exercises. To complete the book, an appendix is provided on topology, measure theory and complex function theory.Table of ContentsPreface.- Set theoretic preliminaries.- Banach spaces.- Bases in Banach spaces.- Operators on Hilbert spaces.- Spectral theory.- States and representations.- Types of von Neumann algebras.- Tensor products.- Unbounded operators.- Tomita-Takesaki theory.- Spectra and type III factors.- Quantum groups and duality.- Special cases.- Classical crossed products.- Crossed products for quantum groups.- Generalized and continuous crossed products.- Basic construction and quantum groups.- Galois objects and cocycle deformations.- Doublecrossed products of quantum groups.- Induction.-Appendix.- Bibliography.- Index.- Exercises.
£67.49
Springer International Publishing AG Fixed Point Theory in Generalized Metric Spaces
Book SynopsisThis book presents fixed point theory, one of the crucial tools in applied mathematics, functional analysis, and topology, which has been used to solve distinct real-world problems in computer science, engineering, and physics. The authors begin with an overview of the extension of metric spaces. Readers are introduced to general fixed-point theorems while comparing and contrasting important and insignificant metric spaces. The book is intended to be self-contained and serves as a unique resource for researchers in various disciplines.Table of ContentsMetric Spaces.- Extension of Metric Spaces.- Fixed Point Theorems on Extended Metric Spaces.
£44.99
Springer International Publishing AG More (Almost) Impossible Integrals, Sums, and
Book SynopsisThis book, the much-anticipated sequel to (Almost) Impossible, Integrals, Sums, and Series, 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.Table of ContentsChapter 1. Integrals.- Chapter 2. Hints.- Chapter 3. Solutions.- Chapter 4. Sums and Series.- Chapter 5. Hints.- Chapter 6. Solutions.
£999.99
Springer International Publishing AG Functional Analysis
Book SynopsisThis 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.
£999.99
Springer International Publishing AG Pseudo-Monotone Operator Theory for Unsteady
Book SynopsisThis 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.Aimed 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.Table of Contents- 1. Introduction. - 2. Preliminaries. - Part I Main Part. - 3. Variable Bochner–Lebesgue Spaces. - 4. Solenoidal Variable Bochner–Lebesgue Spaces. - 5. Existence Theory for Lipschitz Domains. - Part II Extensions. - 6. Pressure Reconstruction. - 7. Existence Theory for Irregular Domains. - 8. Existence Theory for p- < 2. - 9. Appendix.
£41.24
Springer Elliptic Integrals and Elliptic Functions
Book SynopsisIntroduction.- Chapter 1. The arc length of curves.- Chapter 2. Classification of elliptic integrals.- Chapter 3. Applications of elliptic integrals.- Chapter 4. Jacobi's elliptic functions on R.- Chapter 5. Applications of Jacobi's elliptic functions.- Riemann surfaces of algebraic functions.- Chapter 7. Elliptic curves.- Chapter 8. Complex elliptic integrals.- Chapter 9. Mapping the upper half plane to a rectangle.- Chapter 10. The Abel-Jacobi theorem.- Chapter 11. The general theory of elliptic functions.- Chapter 12. The Weierstrass P-function.- Chapter 13. Addition theorems.- Chapter 14. Characterisation by addition formulae.- Chapter 15. Theta functions.- Chapter 16. Infinite product factorisation of theta functions.- Chapter 17. Complex Jacobian functions.- Appendix A. Theorems in analysis and complex analysis.- Bibliography.- Index.
£42.49
Springer International Publishing AG Fractional Differential Equations: New
Book SynopsisThis book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area. The book discusses the classic and novel fixed point theorems related to the measure of noncompactness in Banach spaces and explains how to utilize them as tools. The authors build each chapter upon the previous one, helping readers to develop their understanding of the topic. The book includes illustrated results, analysis, and suggestions for further study.Table of ContentsIntroduction.- Preliminary Background.- Hybrid Fractional Differential Equations.- Fractional Differential Equations with Retardation and Anticipation.- Impulsive Fractional Differential Equations with Retardation and Anticipation.- Coupled Systems for Fractional Differential Equations.
£33.24
Birkhauser Verlag AG Noncommutative Integration and Operator Theory
Book SynopsisThe purpose of this monograph is to provide a systematic account of the theory of noncommutative integration in semi-finite von Neumann algebras. It is designed to serve as an introductory graduate level text as well as a basic reference for more established mathematicians with interests in the continually expanding areas of noncommutative analysis and probability. Its origins lie in two apparently distinct areas of mathematical analysis: the theory of operator ideals going back to von Neumann and Schatten and the general theory of rearrangement invariant Banach lattices of measurable functions which has its roots in many areas of classical analysis related to the well-known Lp-spaces. A principal aim, therefore, is to present a general theory which contains each of these motivating areas as special cases.Table of Contents- 1. A Review of Relevant Operator Theory. - 2. Measurable Operators. - 3. Singular Value Functions. - 4. Symmetric Spaces of τ-Measurable Operators. - 5. Strongly Symmetric Spaces of τ-Measurable Operators. - 6. Examples. - 7. Interpolation.
£104.99
Springer A Spectral Theory Of Noncommuting Operators
Book Synopsis1 Characteristic Polynomial in Several Variables.- 2 Finite Dimensional Group Representations.- 3 Finite Dimensional Lie Algebras.- 4 Projective Spectrum in Banach Algebras.- 5 The C?-algebra of the Infinite Dihedral Group.- 6 The Maurer-Cartan Form of Operator Pencils.- 7 Hermitian Metrics on the Resolvent Set.- 8 Compact Operators and Kernel Bundles.- 9 Weak Containment and Amenability.- 10 Self-similarity and Julia Sets.- References.
£59.99
Springer International Publishing AG Functional Analysis and Operator Theory
Book SynopsisThe book contains a collection of more than 800 problems from all main chapters of functional analysis, with theoretical background and solutions. It is mostly intended for undergraduate students who are starting to study the course of functional analysis. The book will also be useful for graduate and post- graduate students and researchers who wish to refresh their knowledge and deepen their understanding of the subject, as well as for teachers of functional analysis and related disciplines. It can be used for independent study as well. It is assumed that the reader has mastered standard courses of calculus and measure theory and has basic knowledge of linear algebra, analytic geometry, and differential equations. This collection of problems can help students of different levels of training and different areas of specialization to learn how to solve problems in functional analysis. Each chapter of the book has similar structure and consists of the following sections: Theoretical Background, Examples of Problems with Solutions, and Problems to Solve. The book contains theoretical preliminaries to ensure that the reader understands the statements of problems and is able to successfully solve them. Then examples of typical problems with detailed solutions are included, and this is relevant not only for those students who have significant difficulties in studying this subject, but also for other students who due to various circumstances ?could be deprived of communication with a teacher. There are problems for independent solving, and the corresponding selection of problems reflects all the main plot lines that relate to a given topic. The number of problems is sufficient both for a teacher to give practical lessons, to set homework, to prepare tasks for various forms of control, and for those students who want to study the discipline more deeply. Problems of a computational nature are provided with answers, while theoretical problems, the solutions ofwhich require non-trivial ideas or new techniques, are provided with detailed hints or solutions to introduce the reader to the corresponding ideas or techniques.
£55.99
Springer Upper Bounds for Grothendieck Constants Quantum
Book Synopsis- Introduction and motivation.- Complex Gaussian random vectors and their probability law.- A quantum correlation matrix version of the Grothendieck inequality.- Powers of inner products of random vectors, uniformly distributed on the sphere.- Completely correlation preserving functions.- The real case: towards extending Krivine's approach.- The complex case: towards extending Haagerup's approach.- A summary scheme of the main result.- Concluding remarks and open problems.- References.- Index.
£41.24
Springer Functional Analysis and Operator Algebras
Book SynopsisPart I Functional Analysis.- 1 Set Theory and Topology.- 2 Banach Spaces.- 3 LCTVSs and Weak Topologies.- 4 Linear Operators.- 5 Compact Operators.- Part II Banach and C*-algebras.- 6 Banach Algebras.- 7 Commutative Banach Algebras.- 8 Noncommutative Banach Algebras.- 9 C*-Algebras.- 10 Von Neumann Algebras.- Part III Operator Theory.- 11 Hardy Spaces.- 12 Isometries and Toeplitz Operators.- 13 Nest Algebras.- 14 Dilation Theory.- 15 Nonselfadjoint Operator Algebras.- 16 Noncommutative Convexity.
£170.99
Birkhauser Verlag AG Advanced Techniques with Block Matrices of
Book SynopsisThis book introduces several powerful techniques and fundamental ideas involving block matrices of operators, as well as matrices with elements in a C*-algebra.
£39.99
Springer Approximate Fixed Points of Nonexpansive Mappings
Book SynopsisPreface.- 1. Introduction.- 2. Asymptotic regularity for iterations of nonexpansive mappings.- 3. Asymptotic regularity for iterations of monotone nonexpansive mappings.- 4. Asymptotic regularity of uniformly locally nonexpansive mappings.- 5. Asymptotic regularity property in spaces with graphs.- 6. Inexact Viscosity Approximation Methods in Hilbert Spaces.- 7. A common fixed point problem.- 8. Perov contraction mappings.- 9. Cyclical mappings.- 10. Monotone nonexpansive mappings.- 11. Uniformly Locally Contractive Mappings.- 12. Set-valued mappings.- 13. Nonexpansive mappings in spaces with graphs.- References.- Index.
£104.99
Springer An Introduction to KMS Weights
Book Synopsis
£51.99
Birkhäuser Mathematical Theory of Compressible Fluids on
Book SynopsisPreface.- Notation, definitions and basic concepts.- Equations of motion.- Barotropic viscous fluid with the Dirichlet boundary conditions.- Barotropic viscous fluid with slip boundary condition.- Weak-strong uniqueness.- Existence of strong solutions via energy methods.- Existence of strong solutions in the Lp - Lq framework.- The full system.- Index.- References.
£89.99
Springer Nonlinear Functional Analysis with Applications
Book SynopsisPreface.- Introduction and Main Results.- Part I. A Short Course in Nonlinear Functional Analysis.- Elements of Degree Theory.- Theory of Positive Mappings in Ordered Banach Spaces.- Elements of Bifurcation Theory.- Part II. Introduction to Semilinear Elliptic Problems via Semenov Approximation.- Elements of Functions Spaces.- Semilinear Hypoelliptic Robin Problems via Semenov Approximation.- Spectral Analysis of the Closed Realization A.- Local Bifurcation Theorem for Problem (6.4).- Fixed Point Theorems in Ordered Banach Spaces.- The Super-subsolution Method.- Sublinear Hypoelliptic Robin Problems.- Part III. A Combustion Problem with General Arrhenius Equations and Newtonian Cooling.- Proof of Theorem 1.5 (Existence and Uniqueness).- Proof of Theorem 1.7 (Multiplicity).- Proof of Theorem 1.9 (Unique solvability for λ sufficiently small).- Proof of Theorem 1.10 (Unique solvability for λ sufficiently large).- Proof of Theorem 1.11 (Asymptotics).- Part IV. Summary and Discussion.- Open Problems in Numerical Analysis.- Concluding Remarks.- Part V Appendix.- A The Maximum Principle for Second Order Elliptic Operators.- Bibliography.- Index.
£107.99
Springer Relative Rearrangement
Book SynopsisChapter 1. Monotone Rearrangement.- Chapter 2. Relative Rearrangement.- Chapter 3. Polya–Szego inequalities and regularity of monotone rearrangement.- Chapter 4. Pointwise inequalities and Sobolev inclusions.- Chapter 5. Formalism of estimates for boundary value problems.- Chapter 6. Continuity of the derivative map of the monotone rearrangement.- Chapter 7. Strong continuity of the relative rearrangement map u ! b∗u and consequences.- Chapter 8. Some problems related to relative rearrangement.- Chapter 9. Time-dependent functions and evolution equations.- Chapter 10. Relative rearrangement and Lebesgue spaces with variable exponents.- Chapter 11. Exercises and Problems.
£67.49
Birkhauser Verlag AG Functional Analysis Methods for Reliability
Book SynopsisThe main goal of this book is to introduce readers to functional analysis methods, in particular, time dependent analysis, for reliability models. Understanding the concept of reliability is of key importance – schedule delays, inconvenience, customer dissatisfaction, and loss of prestige and even weakening of national security are common examples of results that are caused by unreliability of systems and individuals. The book begins with an introduction to C0-semigroup theory. Then, after a brief history of reliability theory, methods that study the well-posedness, the asymptotic behaviors of solutions and reliability indices for varied reliability models are presented. Finally, further research problems are explored.Functional Analysis Methods for Reliability Models is an excellent reference for graduate students and researchers in operations research, applied mathematics and systems engineering.Trade ReviewFrom the reviews:“The main goal of this monograph is to introduce the reader to methods of linear functional analysis useful for studying contemporary reliability models. … The book will be definitely of interest for specialists in queuing theory, in mathematical modelling of complex manufacturing systems and for all interested in applications of semigroups methods to integro-differential equations. The volume can be read by anyone with a basic knowledge of probability theory and linear functional analysis.” (Mikhail Yu. Kokurin, Zentralblatt MATH, Vol. 1223, 2011)“This book focuses on mathematical methodologies for reliability theory, with emphasis on theory and methods of functional analysis for stochastic models in reliability. … this monograph provides a detailed study of some Markov processes describing an integrated manufacturing system. The mathematical analysis is based on useful methods of functional analysis, concerning pseudo-differential operators and infinite-dimensional tridiagonal matrices.” (Antonio Di Crescenzo, Mathematical Reviews, Issue 2012 h)Table of ContentsPreface.- C0-Semigroup of Linear Operators and Cauchy Problems.- Statement of the Problems.- The System Consisting of a Reliable Machine, an Unreliable Machine and a Storage Buffer with Finite Capacity.- Transfer Line Consisting of a Reliable Machine, an Unreliable Machine and a Storage Buffer with Infinite Capacity.- Further Research Problems.- Bibliography.
£35.99
De Gruyter Invariant Distances and Metrics in Complex Analysis
Book SynopsisAs in the field of "Invariant Distances and Metrics in Complex Analysis" there was and is a continuous progress this is now the second extended edition of the corresponding monograph. This comprehensive book is about the study of invariant pseudodistances (non-negative functions on pairs of points) and pseudometrics (non-negative functions on the tangent bundle) in several complex variables. It is an overview over a highly active research area at the borderline between complex analysis, functional analysis and differential geometry. New chapters are covering the Wu, Bergman and several other metrics. The book considers only domains in Cn and assumes a basic knowledge of several complex variables. It is a valuable reference work for the expert but is also accessible to readers who are knowledgeable about several complex variables. Each chapter starts with a brief summary of its contents and continues with a short introduction. It ends with an "Exercises" and a "List of problems" section that gathers all the problems from the chapter. The authors have been highly successful in giving a rigorous but readable account of the main lines of development in this area.
£185.25
De Gruyter Regularization Algorithms for Ill-Posed Problems
Book SynopsisThis specialized and authoritative book contains an overview of modern approaches to constructing approximations to solutions of ill-posed operator equations, both linear and nonlinear. These approximation schemes form a basis for implementable numerical algorithms for the stable solution of operator equations arising in contemporary mathematical modeling, and in particular when solving inverse problems of mathematical physics. The book presents in detail stable solution methods for ill-posed problems using the methodology of iterative regularization of classical iterative schemes and the techniques of finite dimensional and finite difference approximations of the problems under study. Special attention is paid to ill-posed Cauchy problems for linear operator differential equations and to ill-posed variational inequalities and optimization problems. The readers are expected to have basic knowledge in functional analysis and differential equations. The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems, and also to advanced students in these fields. ContentsIntroductionRegularization Methods For Linear EquationsFinite Difference MethodsIterative Regularization MethodsFinite-Dimensional Iterative ProcessesVariational Inequalities and Optimization Problems
£123.98
Springer International Publishing AG Partial Differential Equations in Action:
Book SynopsisThis textbook presents problems and exercises at various levels of difficulty in the following areas: Classical Methods in PDEs (diffusion, waves, transport, potential equations); Basic Functional Analysis and Distribution Theory; Variational Formulation of Elliptic Problems; and Weak Formulation for Parabolic Problems and for the Wave Equation. Thanks to the broad variety of exercises with complete solutions, it can be used in all basic and advanced PDE courses.Trade Review“The material, at an advanced undergraduate or first year graduate level, presents a very interesting mix of physical applications and abstract theory supporting rigorous existence and regularity results of PDEs. … Each chapter begins with a short formal summary of the basic concepts, which is followed by several dozen of problems covering all aspects of the materials in the corresponding chapters of the book.” (Peter Bernard Weichman, Mathematical Reviews, July, 2016)“Provides an excellent overview of the field and is highly recommended for modern PDEs courses designed for advanced students. … Each chapter first reviews the main theoretical concepts and tools and then provides solved problems and exercises. A broad range of problems and exercises at various levels of difficulty, as well as the extensive reference list, makes this book a valuable resource for advanced undergraduate or beginning graduate researchers … . Summing Up: Highly recommended. Upper-division undergraduates, graduate students, researchers/faculty.” (C. Park, Choice, Vol. 53 (9), May, 2016)“The authors’ aim is to give a systematic treatment of some of the classical methods in partial differential equations. … the book is a very useful contribution to the growing literature on this circle of ideas. I wholeheartedly recommend this book both as a textbook, as well as for independent study.” (Vicenţiu D. Rădulescu, zbMATH 1330.35003, 2016)Table of Contents1 Diffusion.- 2 The Laplace equation.- 3 First order equations.- 4 Waves.- 5 Functional analysis.- 6 Variational formulations.- 7 Appendix A Sturm-Liouville, Legendre and Bessel equations.- 8 Appendix B Identities.
£46.74
Springer International Publishing AG Counting with Symmetric Functions
Book SynopsisThis monograph provides a self-contained introduction to symmetric functions and their use in enumerative combinatorics. It is the first book to explore many of the methods and results that the authors present. Numerous exercises are included throughout, along with full solutions, to illustrate concepts and also highlight many interesting mathematical ideas.The text begins by introducing fundamental combinatorial objects such as permutations and integer partitions, as well as generating functions. Symmetric functions are considered in the next chapter, with a unique emphasis on the combinatorics of the transition matrices between bases of symmetric functions. Chapter 3 uses this introductory material to describe how to find an assortment of generating functions for permutation statistics, and then these techniques are extended to find generating functions for a variety of objects in Chapter 4. The next two chapters present the Robinson-Schensted-Knuth algorithm and a method for proving Pólya’s enumeration theorem using symmetric functions. Chapters 7 and 8 are more specialized than the preceding ones, covering consecutive pattern matches in permutations, words, cycles, and alternating permutations and introducing the reciprocity method as a way to define ring homomorphisms with desirable properties.Counting with Symmetric Functions will appeal to graduate students and researchers in mathematics or related subjects who are interested in counting methods, generating functions, or symmetric functions. The unique approach taken and results and exercises explored by the authors make it an important contribution to the mathematical literature.Trade Review“This book provides a current survey of techniques and applications of symmetric functions to enumeration theory, with emphasis on the combinatorics of the transition matrices between bases. … Each chapter ends with a substantial number of exercises along with full solutions, as well as accurate bibliographic notes. The book is definitely a very interesting addition to the literature on the subject.” (Domenico Senato, Mathematical Reviews, February, 2017)“Though the authors target graduate students, advanced undergraduates will also surely have the necessary prerequisites, easily grasp the book's goals, and find many chapters accessible. … Summing Up: Recommended. Upper-division undergraduates through professionals/practitioners.” (D. V. Feldman, Choice, Vol. 53 (12), September, 2016)Table of ContentsPreface.- Permutations, Partitions, and Power Series.- Symmetric Functions.- Counting with the Elementary and Homogeneous.- Counting with a Nonstandard Basis.- Counting with RSK.- Counting Problems that Involve Symmetry.- Consecutive Patterns.- The Reciprocity Method.- Appendix: Transition Matrices.- References.- Index.
£63.99
Springer Fachmedien Wiesbaden Lineare Operatoren in Hilberträumen: Teil 1
Book SynopsisBehandelt werden die Grundlagen der Theorie zum Thema Lineare Operatoren in Hilberträumen, wie sie üblicherweise in Standardvorlesungen für Mathematiker und Physiker vorgestellt werden.Table of ContentsMetrische Räume, normierte Räume, Hilberträume - Lineare Operatoren und Funktionale - Kompakte Operatoren - Spektraltheorie abgeschlossener Operatoren - Klassen linearer Operatoren - Quantenmechanik und Hilbertraumtheorie - Spektraltheorie selbstadjungierter Operatoren - Störungstheorie selbstadjungierter Operatoren - Selbstadjungierte Fortsetzung symmetrischer Operatoren - Fouriertransformationen und Differentialoperatoren
£47.49
Springer Fachmedien Wiesbaden Lineare Operatoren in Hilberträumen: Teil II:
Book SynopsisDie im ersten Teil des Buchs dargestellten Grundlagen der Theorie der linearen Operatoren in Hilberträumen werden hier benutzt, um die Spektraltheorie von Ein- und Mehrteilchen-Schrödingeroperatoren sowie des Dirac-Operators eingehend zu untersuchen.Table of ContentsSpektrale Teilräume eines selbstadjungierten Operators - Sturm-Liouville-Operatoren - Eindimensionale Diracoperatoren - Periodische Differentialoperatoren - Ein-Teilchen-Schrödingeroperatoren - Separation der Variablen und Kugelflächenfunktionen - Spektraltheorie von N-Teilchen-Schrödingeroperatoren - Grundbegriffe der Streutheorie - Existenz der Wellenoperatoren - Ein eindimensionales Streuproblem
£999.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG An Introduction to Infinite-Dimensional Analysis
Book SynopsisBased on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It starts from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate basic stochastic dynamical systems and Markov semi-groups, paying attention to their long-time behavior.Trade ReviewFrom the reviews: "This is an extended version of the author’s ‘An introduction to infinite-dimensional analysis’ published by Scuola Normale Superiore, Pisa … . A well written textbook (even an introductory research monograph), suitable for teaching a graduate course." (Neils Jacob, Zentralblatt MATH, Vol. 1109 (11), 2007) "The present volume collects together … the notes of the course on infinite-dimensional analysis held by the author at the Scuola Normale Superiore of Pisa in recent years. The book is intended for people who have some knowledge of functional analysis … . It provides an extremely useful tool for those scholars who are interested in learning some basics about Gaussian measures in Hilbert spaces, Brownian motion, Markov transition semigroups … . The book is well written and all arguments are clearly and rigorously presented." (Sandra Cerrai, Mathematical Reviews, Issue 2009 a)Table of ContentsGaussian measures in Hilbert spaces.- The Cameron–Martin formula.- Brownian motion.- Stochastic perturbations of a dynamical system.- Invariant measures for Markov semigroups.- Weak convergence of measures.- Existence and uniqueness of invariant measures.- Examples of Markov semigroups.- L2 spaces with respect to a Gaussian measure.- Sobolev spaces for a Gaussian measure.- Gradient systems.
£44.99
Springer Fachmedien Wiesbaden Grundwissen Mathematikstudium: Höhere Analysis,
Book Synopsis Dieses vierfarbige Lehrbuch wendet sich an Studierende der Mathematik in Bachelor-Studiengängen. Es bietet in einem Band ein lebendiges Bild der mathematischen Inhalte, die üblicherweise im zweiten und dritten Studienjahr behandelt werden (mit Ausnahme der Algebra).Mathematik-Studierende finden wichtige Begriffe, Sätze und Beweise ausführlich und mit vielen Beispielen erklärt und werden an grundlegende Konzepte und Methoden herangeführt.Im Mittelpunkt stehen das Verständnis der mathematischen Zusammenhänge und des Aufbaus der Theorie sowie die Strukturen und Ideen wichtiger Sätze und Beweise. Es wird nicht nur ein in sich geschlossenes Theoriengebäude dargestellt, sondern auch verdeutlicht, wie es entsteht und wozu die Inhalte später benötigt werden.Herausragende Merkmale sind: durchgängig vierfarbiges Layout mit mehr als 350 Abbildungen prägnant formulierte Kerngedanken bilden die Abschnittsüberschriften Selbsttests in kurzen Abständen ermöglichen Lernkontrollen während des Lesens farbige Merkkästen heben das Wichtigste hervor „Unter-der-Lupe“-Boxen zoomen in Beweise hinein, motivieren und erklären Details „Hintergrund-und-Ausblick“-Boxen stellen Zusammenhänge zu anderen Gebieten und weiterführenden Themen her Zusammenfassungen zu jedem Kapitel sowie Übersichtsboxen mehr als 500 Verständnisfragen, Rechenaufgaben und Aufgaben zu Beweisen Der inhaltliche Schwerpunkt liegt auf dem weiteren Ausbau der Analysis sowie auf den Themen der Vorlesungen Numerik sowie Wahrscheinlichkeitstheorie und Statistik. Behandelt werden darüber hinaus Inhalte und Methodenkompetenzen, die vielerorts im zweiten und dritten Studienjahr der Mathematikausbildung vermittelt werden.Auf der Website zum Buch Matheweb finden Sie Hinweise, Lösungswege und Ergebnisse zu allen Aufgaben die Möglichkeit, zu den Kapiteln Fragen zu stellen Das Buch wird allen Studierenden der Mathematik ein verlässlicher Begleiter sein.Trade Review“ ... Ausführliche Erklärungen und über 400 Abbildungen verdeutlichen abstrakte Sachverhalte, kompakte Übersichten liefern zentrale Ergebnisse, Kontrollfragen ermöglichen eine fortlaufende Verständniskontrolle und Übungsaufgaben dienen der eingehenden Beschäftigung mit dem Stoff ... Der Zielgruppe als Lehrbuch und Nachschlagewerk auch neben der Studienliteratur zu den einzelnen Teilgebieten sehr dienlich.” (Philipp Kastendieck, in: ekz-Informationsdienst, Jg. 11, 2016)“... für den Autodidakt kann dieses Lehrbuch empfohlen werden, da eine Vielfalt an Beispielen , Übungsaufgaben und entsprechenden Abfragen den Einstieg im nicht immer leichten Lehrstoff erleichtert. ... kann dieses Lehrbuch für das Mathematikstudium empfohlen werden. Es beinhaltet die Grundlagen des Mathematikstudiums und hat den Vorteil ...” (La, in: Amazon.de, 10. November 2015)Table of Contents1 Mathematik – eine Wissenschaft für sich.- 2 Lineare Differenzialgleichungen – Systeme und Gleichungen höherer Ordnung.- 3 Randwertprobleme und nichtlineare Differenzialgleichungen – Funktionen sind gesucht.- 4 Qualitative Theorie – jenseits von analytischen und mehr als numerische Lösungen.- 5 Funktionentheorie – Analysis im Komplexen.- 6 Differenzialformen und der allgemeine Satz von Stokes.- 7 Grundzüge der Maß- und Integrationstheorie vom Messen und Mitteln.- 8 Lineare Funktionalanalysis – Operatoren statt Matrizen.- 9 Fredholm-Gleichungen – kompakte Störungen der Identität.- 10 Hilberträume – fast wie im Anschauungsraum.- 11 Warum Numerische Mathematik? – Modellierung, Simulation und Optimierung.- 12 Interpolation – Splines und mehr.- 13 Quadratur – numerische Integrationsmethoden.- 14 Numerik linearer Gleichungssysteme – Millionen von Variablen im Griff.- 15 Eigenwertprobleme – Einschließen und Approximieren.- 16 Lineare Ausgleichsprobleme – im Mittel das Beste.- 17 Nichtlineare Gleichungen und Systeme – numerisch gelöst.- 18 Numerik gewöhnlicher Differenzialgleichungen – Schritt für Schritt zur Trajektorie.- 19 Wahrscheinlichkeitsräume – Modelle für stochastische Vorgänge.- 20 Bedingte Wahrscheinlichkeit und Unabhängigkeit – Meister Zufall hängt (oft) ab.- 21 Diskrete Verteilungsmodelle – wenn der Zufall zählt.- 22 Stetige Verteilungen und allgemeine Betrachtungen – jetzt wird es analytisch.- 23 Konvergenzbegriffe und Grenzwertsätze – Stochastik für große Stichproben.- 24 Grundlagen der Mathematischen Statistik – vom Schätzen und Testen.
£66.49
Springer Fachmedien Wiesbaden Verallgemeinerte Funktionen: Grundlagen und
Book SynopsisDieses essential bietet eine Einführung in die theoretischen Grundlagen und Anwendungen der verallgemeinerten Funktionen. Nach zwei typischen Anwendungen verallgemeinerter Funktionen wird die Theorie entwickelt, wobei zum besseren Verständnis nur die fundamentalen Ideen vorgestellt werden, sodass keine funktionalanalytischen Kenntnisse vorausgesetzt werden. Danach folgt eine systemtheoretische Untersuchung von LTI-Systemen unter Einbeziehung der Dirac-Distribution und die Modellierung gezupfter schwingender Saiten. Den Abschluss bildet die Modellierung technischer Rauschprozesse am Beispiel des kontinuierlichen weißen Rauschens.Table of ContentsSignalübertragung und schwingende Saite.- Darstellung von Funktionen durch Funktionale und Distributionen.- LTI-Systeme, schwache Lösungen und Rauschprozesse.
£11.77
Spektrum Akademischer Verlag Dynamische Systeme: Theorie und Numerik
Book Synopsis1. Funktionalanalytische Grundlagen.- 2. Gewöhnliche Differentialgleichungen.- 3. Bifurkation bei gewöhnlichen DGL.- 4. Analytische Bifurkationstheorie.- 5. Numerik der Gleichgewichtslösungen.- 6. Numerik periodischer Lösungen.- 7. Quasi-periodische Lösungen und invariante Tori.- Literaturverzeichnis.
£31.34
Springer Fachmedien Wiesbaden Analysis Band 2: Ein Lernbuch
Book SynopsisDas Buch ist im Stil der Analysis 1 geschrieben: Alles wird sehr ausführlich motiviert und entwickelt, und wieder gab es eine besonders intensive Zusammenarbeit mit Studierenden. Neben dem üblichen Stoff einer Analysis 2 (Funktionenräume, Integration, Differentialrechnung für Funktionen in mehreren Veränderlichen) enthält das Buch eine Reihe von Besonderheiten, die es sonst in keinem Lehrbuch gibt. Zum Beispiel ist der Satz von Liouville enthalten, durch den garantiert wird, dass gewisse einfache Funktionen nicht geschlossen integriert werden können. Im Kapitel "Anwendungen der Integralrechnung" gibt es einen Abschnitt zur Zahlentheorie, in dem Transzendenzbeweise für konkrete Zahlen - unter anderem für die Zahl e - geführt werden; in diesem Kapitel wird auch der Existenzsatz von Picard-Lindelöf behandelt. Und schließlich gibt es noch einen ausführlichen Anhang zum Thema "Englisch für Mathematiker": Was muss man beachten, wenn man sich auf Englisch über Mathematik unterhalten möchte? In der 2.Auflage wurde der Text an vielen Stellen korrigiert, und in Kapitel 6 (Integration) wurde ein Abschnitt überarbeitet.Trade Review"Das Buch schließt mit einem fast unterhaltsamen Abschnitt über "Englisch für Mathematiker" der ebenfalls wie das gesamte Werk auch Nicht-Mathematikern zur Lektüre, zur Vertiefung und als Ergänzung zu den einschlägigen Vorlesungen empfohlen sei." ImpulsE, 12/2007Table of ContentsFunktionenräume - Integration - Anwendungen der Integralrechnung - Differentialrechnung im R^n - Mathematische Ausblicke: Lebesgue-Integral, Fourierreihen, Mehrfachintegrale - Englisch für Mathematiker
£26.59
Springer Fachmedien Wiesbaden Fouriertransformation für Fußgänger
Book SynopsisDieses unterhaltsame Lehrbuch wendet sich an alle, die in der Ausbildung und in ihrer beruflichen Praxis mit Fouriertransformationen zu tun haben. Das Buch behandelt sowohl Fourierreihen als auch kontinuierliche und diskrete Fouriertransformationen. Außerdem werden Fensterfunktionen ausführlich diskutiert. Zahlreiche Abbildungen und Beispiele, die vom Leser meist von Hand nachgerechnet werden können, machen den Stoff leicht verständlich.Table of ContentsFourierreihen - Kontinuierliche Fouriertransformation - Fensterfunktionen - Diskrete Fouriertransformation - Filterwirkung bei digitaler Datenverarbeitung - Anhang: Lösungen zur "Spielwiese"
£26.59
Hindustan Book Agency Functional Analysis
Book SynopsisThis book is suited for a first course on Functional Analysis at the masters level. Efforts have been made to illustrate the use of various results via examples taken from differential equations and the calculus of variations, either through brief sections or through exercises. So, this book will be particularly useful for students who aspire to a research career in the applications of mathematics.Special emphasis has been given to the treatment of weak topologies and their applications to notions like reflexivity, separability and uniform convexity. The chapter on Lebesgue spaces includes a section devoted to the simplest examples of Sobolev spaces. The chapter on compact operators includes the spectral theory of compact self-adjoint operators on a Hilbert space.Each chapter concludes with a large selection of exercises of varying degrees of difficulty. They often provide examples or counter-examples to illustrate the optimality of the hypotheses of various theorems proved in the text, or develop simple versions of theories not developed therein.In this (second) edition, the book has been completely overhauled, without altering its original structure. Proofs of many results have been rewritten for greater clarity of exposition. Many examples have been added to make the text more user-friendly. Several new exercises have been added.
£47.60
Birkhauser Verlag AG Introduction to continuous semigroups
Book SynopsisIn the academic year 1994/95 I lectured on semigroups in the Scuola Normale Superiore and in the Politecnico di Torino. The purpose of the lectures was to present to an audience of graduate students a self-contained introduction to the theory of strongly continuous semigroups of linear operators acting on a Banach space. The main trust was concentrated on laying down the basic geometrical aspects of the theory as a background for applications to concrete problems in the analysis of differential operators.
£14.99
Hindustan Book Agency Operators on Hilbert Space
Book SynopsisThis book’s principle goals are (i) to present the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus, (ii) to present a proof without digressing into a course on the Gelfand theory of commutative Banach algebras, (iii) to introduce the reader to the basic facts concerning the various von Neumann-Schatten ideals, the compact operators, the trace-class operators and all bounded operators, and finally, (iv) to serve as a primer on the theory of bounded linear operators on separable Hilbert space.
£33.96
Springer Unbounded Self-adjoint Operators on Hilbert Space
Book SynopsisThe book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) . Among others, a number of advanced special topics are treated on a text book level accompanied by numerous illustrating examples and exercises. The main themes of the book are the following: - Spectral integrals and spectral decompositions of self-adjoint and normal operators - Perturbations of self-adjointness and of spectra of self-adjoint operators - Forms and operators - Self-adjoint extension theory :boundary triplets, Krein-Birman-Vishik theory of positive self-adjoint extensionTrade ReviewFrom the reviews:“The book is devoted to the exposition of the theory of unbounded operators in the Hilbert space. … book starts with a standard introduction to the theory of closed and closable operators, with an explanation of the important difference between self-adjoint and symmetric operators. … Among the advantages of the book is the inclusion of a nice and voluminous selection of exercises. … the book can be used for teaching a graduate course in spectral theory to students in analysis and to physicists … .” (G. V. Rozenblum, Mathematical Reviews, January, 2013)“I recommend the book as a reference for readers interested in the general theory of unbounded self-adjoint operators in Hilbert space. It is a valuable reference for numerous topics, including closed and adjoint operators, the general spectral theorem for self-adjoint operators, groups and semigroups of operators, semibounded and sectorial forms and their associated operators, and self-adjoint extensions of symmetric operators. … A special feature of the book is the inclusion of numerous examples based on multiplication operators and first and second order differential operators.” (Anton Zettl, SIAM Review, Vol. 55 (3), 2013)“The book can be used for teaching a graduate course in spectral theory to students and is also suitable for self-study. The book consists of six parts, each of which is subdivided into several chapters, each chapter ending with a section containing exercises. … The book concludes with appendices devoted to basic topics in analysis and the theory of bounded operators.” (Michael Perelmuter, Zentralblatt MATH, Vol. 1257, 2013)Table of ContentsI Basics onClosed Operators.- 1 Closed Operators and Adjoint Operators.- 2 Spectrum of Closed Operators.- 3 Some Classes of Unbounded Operators.- II Spectral Theory.- 4 Spectral Measures and Spectral Integrals.- 5 Spectral Decomposition of Selfadjoint and Normal Operators.- III Special Topics.- 6 One-Parameter Groups and Semigroups of Operators.- 7 Miscellaneous.- IV Petirbations of Selfadjointness and of Spectra of Selfadjoint Operators.- 8 Perturbations of Selfadjoint Operators.- 9 Trace Class Perturbations of Spectra of Selfadjoint Operators.- V Forms and Operators.- 10 Semibounded Forms and Selfadjoint Operators.- 11 Sectorial Forms and m-Sectorial Operators.- 12 Discrete Spectrum of Selfadjoint Operators.- VI Selfadjoint Extention Theory of Symmetric Operators.- 13 Selfajoint Extensions: Cayley Transform and Krein Transform.- 14 Selfadjoint Extensions: Boundary Triplets.- 15 Sturm-Liouville Operators.- One-Dimensional Moment Problem.
£54.99
Springer Verlag, Singapore Theory and Applications of Special Functions for
Book SynopsisThis book provides the knowledge of the newly-established supertrigonometric and superhyperbolic functions with the special functions such as Mittag-Leffler, Wiman, Prabhakar, Miller-Ross, Rabotnov, Lorenzo-Hartley, Sonine, Wright and Kohlrausch-Williams-Watts functions, Gauss hypergeometric series and Clausen hypergeometric series. The special functions can be considered to represent a great many of the real-world phenomena in mathematical physics, engineering and other applied sciences. The audience benefits of new and original information and references in the areas of the special functions applied to model the complex problems with the power-law behaviors.The results are important and interesting for scientists and engineers to represent the complex phenomena arising in applied sciences therefore graduate students and researchers in mathematics, physics and engineering might find this book appealing.Table of ContentsChapter 1 Preliminaries.- Chapter 2 Wright Function and Integral Transforms via Dunkl Transform.- Chapter 3 Mittag-Leffler, Supertrigonometric and Superhyperbolic Functions.- Chapter 4 Wiman, Supertrigonometric and Superhyperbolic Functions.- Chapter 5 Prabhakar, Supertrigonometric and Superhyperbolic Functions.- Chapter 6 Other Special Functions Related to Mittag-Leffler Function.- Chapter 7 Kohlrausch-Williams-Watts Function and Related Topics Bibliography.
£95.99
Springer Spectral Theory of Block Multivalued Operator Matrices
Book SynopsisAlgebraic and topological properties of block multivalued operator matrices.- Spectra and local spectral theory for block multivalued operator matrices.- Pseudospectra, and numerical range of linear relations.- Frobenius-Schur factorization and essential spectra of block multivalued operator matrices.
£98.99
Springer Positive Operators and FixedPoint Theorems with Applications
Book SynopsisChapter 1 Convergence of a Class of Szasz–Kantorovich Operators based on 2D Appell Polynomials .- Chapter 2 Convergence Results for Nonlinear Generalized Bernstein-type Operators.- Chapter 3 Existence of Solutions for Infinite System of Nonlinear q-fractional Boundary-value Problem via Generalized Darbo’s Fixed-point Theorem.
£98.99
Springer Verlag, Singapore Macdonald Polynomials: Commuting Family of q-Difference Operators and Their Joint Eigenfunctions
Book SynopsisThis book is a volume of the Springer Briefs in Mathematical Physics and serves as an introductory textbook on the theory of Macdonald polynomials. It is based on a series of online lectures given by the author at the Royal Institute of Technology (KTH), Stockholm, in February and March 2021. Macdonald polynomials are a class of symmetric orthogonal polynomials in many variables. They include important classes of special functions such as Schur functions and Hall–Littlewood polynomials and play important roles in various fields of mathematics and mathematical physics. After an overview of Schur functions, the author introduces Macdonald polynomials (of type A, in the GLn version) as eigenfunctions of a q-difference operator, called the Macdonald–Ruijsenaars operator, in the ring of symmetric polynomials. Starting from this definition, various remarkable properties of Macdonald polynomials are explained, such as orthogonality, evaluation formulas, and self-duality, with emphasis on the roles of commuting q-difference operators. The author also explains how Macdonald polynomials are formulated in the framework of affine Hecke algebras and q-Dunkl operators.Table of ContentsOverview of Macdonald polynomials.- Preliminaries on symmetric functions.- Schur functions.- Macdonald polynomials: Definition and examples.- Orthogonality and higher order q-difference operators.- Self-duality, Pieri formula and Cauchy formulas.- Littlewood–Richardson coefficients and branching coefficients.- Affine Hecke algebra and q-Dunkl operators (overview).
£29.99
Springer Verlag, Singapore Dilations, Completely Positive Maps and Geometry
Book SynopsisThis book introduces the dilation theory of operators on Hilbert spaces and its relationship to complex geometry. Classical as well as very modern topics are covered in the book. On the one hand, it introduces the reader to the characteristic function, a classical object used by Sz.-Nagy and Foias and still a topic of current research. On the other hand, it describes the dilation theory of the symmetrized bidisc which has been developed mostly in the present century and is a very active topic of research. It also describes an abstract theory of dilation in the setting of set theory. This was developed very recently.A good portion of the book discusses various geometrical objects like the bidisc, the Euclidean unit ball, and the symmetrized bidisc. It shows the similarities and differences between the dilation theory in these domains. While completely positive maps play a big role in the dilation theory of the Euclidean unit ball, this is not so in the symmetrized bidisc for example. There, the central role is played by an operator equation. Targeted to graduate students and researchers, the book introduces the reader to different techniques applicable in different domains.Table of ContentsDilation for One Operator.- C*-Algebras and Completely Positive Maps.- Dilation Theory in Two Variables - The Bidisc.- Dilation Theory in Several Variables - the Euclidean Ball.- The Euclidean Ball - The Drury Arveson Space.- Dilation Theory in Several Variables - The Symmetrized Bidisc.- An Abstract Dilation Theory.
£82.49
Taylor & Francis Ltd Sequence Spaces and Summability Over Valued
Book SynopsisSequence 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).The 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.Key Features Presented in a self-contained manner Provides examples and counterexamples in the relevant contexts Provides extensive references at the end of each chapter to enable the reader to do further research in the topic Presented in the same book, a comparative study of Archimedean and non-Archimedean Summability Theory Appeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory The book is written by a very experienced educator and researcher in MatTable of ContentsAbout 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.
£104.50
Taylor & Francis Ltd Measure and Integration A First Course
Book SynopsisThis concise text is intended as an introductory course in measure and integration. It covers essentials of the subject, providing ample motivation for new concepts and theorems in the form of discussion and remarks, and with many worked-out examples. The novelty of Measure and Integration: A First Course is in its style of exposition of the standard material in a student-friendly manner. New concepts are introduced progressively from less abstract to more abstract so that the subject is felt on solid footing. The book starts with a review of Riemann integration as a motivation for the necessity of introducing the concepts of measure and integration in a general setting. Then the text slowly evolves from the concept of an outer measure of subsets of the set of real line to the concept of Lebesgue measurable sets and Lebesgue measure, and then to the concept of a measure, measurable function, and integration in a more general setting. Again, intTable of ContentsPreface. Note to the Reader. Review of Riemann Integral. Lebesgue Measure. Measure and Measurable Functions. Integral of Positive Measurable Functions. Integral of Complex Measurable Functions. Integration on Product Spaces. Fourier Transform. References. Index.
£82.64
Taylor & Francis Ltd Transcendental Representations with Applications to Solids and Fluids Mathematics and Physics for Science and Technology
a huge range and FREE tracked UK delivery on ALL orders.
£58.99
Taylor & Francis Ltd Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications
a huge range and FREE tracked UK delivery on ALL orders.
£58.89
