Functional analysis and transforms Books
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
£95.00
Brill Stochastic Analysis and Random Maps in Hilbert Space
Book Synopsis01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information. This book is devoted to stochastic operators in Hilbert space. A number of models in modern probability theory apply the notion of a stochastic operator in explicit or latent form. In this book, objects from the Gaussian case are considered. Therefore, it is useful to consider all random variables and elements as functionals from the Wiener process or its formal derivative, i.e. white noise. The book consists of five chapters. The first chapter is devoted to stochastic calculus and its main goal is to prepare the tools for solving stochastic equations. In the second chapter the structure of stochastic equations, mainly the structure of Gaussian strong linear operators, is studied. In chapter 3 the definition of the action of the stochastic operator on random elements in considered. Chapter 4 deals with the mathematical models in which the notions of stochastic calculus arise and in the final chapter the equation with random operators is considered.Table of ContentsFrontmatter -- Contents -- Introduction -- Chapter 1. Stochastic calculus -- Chapter 2. Random maps in Hilbert space -- Chapter 3. The composition of random maps -- Chapter 4. Stochastic analysis and quantum mechanics -- Chapter 5. Equations with random operators -- Bibliography
£95.00
Clarendon Press The Geometry of FourManifolds
Book SynopsisThis book provides the first lucid and accessible account to the modern study of the geometry of four-manifolds. It has become required reading for postgraduates and research workers whose research touches on this topic. Pre-requisites are a firm grounding in differential topology, and geometry as may be gained from the first year of a graduate course. The subject matter of this book is the most significant breakthrough in mathematics of the last fifty years, and Professor Donaldson won a Fields medal for his work in the area. The authors start from the standpoint that the fundamental group and intersection form of a four-manifold provides information about its homology and characteristic classes, but little of its differential topology. It turns out that the classification up to diffeomorphism of four-manifolds is very different from the classification of unimodular forms and that the study of this question leads naturally to the new Donaldson invariants of four-manifolds. A central tTrade Review... authoritative and comprehensive... it must be regarded as compulsory reading for any young researcher approaching this difficult but fascinating area. * Bulletin of the London Mathematical Society *Table of Contents1. Four-manifolds ; 2. Connections ; 3. The Fourier transform and ADHM construction ; 4. Yang-Mills moduli spaces ; 5. Topology and connections ; 6. Stable holomorphic bundles over Kahler surfaces ; 7. Excision and glueing ; 8. Non-existence results ; 9. Invariants of smooth four-manifolds ; 10. The differential topology of algebraic surfaces ; Appendix ; References ; Index
£142.50
Clarendon Press Analysis on Symmetric Cones Oxford Mathematical Monographs
Book SynopsisThis monograph treats the analysis of symmetric cones in a systematic way. It discusses harmonic analysis and special functions associated with symmetric cones; it also tries these results together with the study of holomorphic functions on bounded symmetric domains of tube type.Trade Review... the present book is more carefully directed at the graduate student level, includes numerous exercises, and has its emphasis more on the harmonic analysis side. Such a presentation is much needed. The detailed exposition, careful choice of organization and notation, and very helpful collection of exercises, mostly of medium difficulty, all attest to the effort put into this joint venture. As a highly readable and accessible presentation of Jordan algebras and their applications to Riemannian geometry and harmonic analysis, the book is strongly recommended to all analysts (starting at graduate level) working in the multi-variable setting of symmetric spaces and Lie groups. Bulletin of the London Mathematical SocietyTable of ContentsI. Convex cones ; II. Jordan algebras ; III. Symmetric cones and Euclidean Jordan algebras ; IV. The Peirce decomposition in a Jordan algebra ; V. Classification of Euclidean Jordan algebras ; VI. Polar decomposition and Gauss decomposition ; VII. The gamma function of a symmetric cone ; VIII. Complex Jordan algebras ; IX. Tube domains over convex cones ; X. Symmetric domains ; XI. Conical and spherical polynomials ; XII. Taylor and Laurent series ; XIII. Functions spaces on symmetric domains ; XIV. Invariant differential operators and spherical functions ; XV. Special functions ; XVI. Representations of Jordan algebras and Euclidean Fourier analysis ; Bibliography
£212.50
Clarendon Press Sampling Theory in Fourier and Signal Analysis Volume 1 Foundations Oxford Science Publications
Book SynopsisThis monograph explores the equivalence of signal functions with their sets of values taken at discrete points. Beginning with an introduction to the main ideas, and background material on Fourier analysis and Hilbert spaces and their bases, it covers a wide variety of topics.Trade Review...the text is written by use of LATEX and its beautiful graphics reveal the power and the advantages of this system. * Zentralblatt fuer Mathematik 827/97 *Table of Contents1. An introduction to sampling theory ; 1.1 General introduction ; 1.2 Introduction - continued ; 1.3 The seventeenth to the mid twentieth century - a brief review ; 1.4 Interpolation and sampling from the seventeenth century to the mid twentieth century - a brief review ; 1.5 Introduction - concluding remarks ; 2. Background in Fourier analysis ; 2.1 The Fourier Series ; 2.2 The Fourier transform ; 2.3 Poisson's summation formula ; 2.4 Tempered distributions - some basic facts ; 3. Hilbert spaces, bases and frames ; 3.1 Bases for Banach and Hilbert spaces ; 3.2 Riesz bases and unconditional bases ; 3.3 Frames ; 3.4 Reproducing kernel Hilbert spaces ; 3.5 Direct sums of Hilbert spaces ; 3.6 Sampling and reproducing kernels ; 4. Finite sampling ; 4.1 A general setting for finite sampling ; 4.2 Sampling on the sphere ; 5. From finite to infinite sampling series ; 5.1 The change to infinite sampling series ; 5.2 The Theorem of Hinsen and Kloosters ; 6. Bernstein and Paley-Weiner spaces ; 6.1 Convolution and the cardinal series ; 6.2 Sampling and entire functions of polynomial growth ; 6.3 Paley-Weiner spaces ; 6.4 The cardinal series for Paley-Weiner spaces ; 6.5 The space ReH1 ; 6.6 The ordinary Paley-Weiner space and its reproducing kernel ; 6.7 A convergence principle for general Paley-Weiner spaces ; 7. More about Paley-Weiner spaces ; 7.1 Paley-Weiner theorems - a review ; 7.2 Bases for Paley-Weiner spaces ; 7.3 Operators on the Paley-Weiner space ; 7.4 Oscillatory properties of Paley-Weiner functions ; 8. Kramer's lemma ; 8.1 Kramer's Lemma ; 8.2 The Walsh sampling therem ; 9. Contour integral methods ; 9.1 The Paley-Weiner theorem ; 9.2 Some formulae of analysis and their equivalence ; 9.3 A general sampling theorem ; 10. Ireggular sampling ; 10.1 Sets of stable sampling, of interpolation and of uniqueness ; 10.2 Irregular sampling at minimal rate ; 10.3 Frames and over-sampling ; 11. Errors and aliasing ; 11.1 Errors ; 11.2 The time jitter error ; 11.3 The aliasing error ; 12. Multi-channel sampling ; 12.1 Single channel sampling ; 12.3 Two channels ; 13. Multi-band sampling ; 13.1 Regular sampling ; 13.3 An algorithm for the optimal regular sampling rate ; 13.4 Selectively tiled band regions ; 13.5 Harmonic signals ; 13.6 Band-ass sampling ; 14. Multi-dimensional sampling ; 14.1 Remarks on multi-dimensional Fourier analysis ; 14.2 The rectangular case ; 14.3 Regular multi-dimensional sampling ; 15. Sampling and eigenvalue problems ; 15.1 Preliminary facts ; 15.2 Direct and inverse Sturm-Liouville problems ; 15.3 Further types of eigenvalue problem - some examples ; 16. Campbell's generalised sampling theorem ; 16.1 L.L. Campbell's generalisation of the sampling theorem ; 16.2 Band-limited functions ; 16.3 Non band-limited functions - an example ; 17. Modelling, uncertainty and stable sampling ; 17.1 Remarks on signal modelling ; 17.2 Energy concentration ; 17.3 Prolate Spheroidal Wave functions ; 17.4 The uncertainty principle of signal theory ; 17.5 The Nyquist-Landau minimal sampling rate
£152.50
Taylor & Francis Ltd Fractional Integral Transforms
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£120.00
Springer New York Fourier Analysis and Its Applications
Book SynopsisAt the same time, the author has managed to include discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually does not find in books at this level.Trade ReviewFrom the reviews: "This book is one in the Graduate Texts in Mathematics series published by Springer. … There is a variety of worked examples as well as 350-plus exercises … . The book is a valuable addition to the literature on Fourier analysis. It is written with more mathematical rigour than many texts … without being totally opaque to the non-specialist. … The examples at the end of each chapter are well structured and a reader working through most of them will achieve a good understanding of the topics." (Graham Brindley, The Mathematical Gazette, Vol. 90 (517), 2006) "The author … presents the results of his experiences and choices for decades of teaching courses. … The tables and formulas collected … are of great service. At the end of each chapter there is a summary section that discusses the results, gives some history, and suggests instructive exercises. We thus have a solid course on Fourier analysis and its applications interesting for students and specialists in engineering as well as for mathematicians. … I believe that the book will find numerous interested readers." (Elijah Liflyand, Zentralblatt MATH, Vol. 1032 (7), 2004) "This book is an interesting mixture of a traditional approach … and a more modern one, emphasizing the role of (tempered) distributions and the application aspects of Fourier analysis. … The book is certainly highly recommendable for those who want to learn the essence of Fourier analysis in a mathematically correct way without having to go through too much technical details." (H.G. Feichtinger, Monatshefte für Mathematik, Vol. 143 (2), 2004) "The book is appropriate for an advanced undergraduate or a master’s level one-term introductory course on Fourier series with applications to boundary value problems. … a deep idea is presented in a non-rigorous way both to show the usefulness of the idea and to stimulate interest in further study. … The book has a good collection of exercises … . Each chapter ends with both a summary of its main results and methods and historical notes." (Colin C. Graham, Mathematical Reviews, Issue 2004 e)Table of ContentsIntroduction * Preparations * Laplace and Z Transforms * Fourier Series * L^2 Theory * Separation of Variables * Fourier Transforms * Distributions * Multi-Dimentional Fourier Analysis * Appendix A: The ubiquitous convolution * Appendix B: The Discrete Fourier Transform * Appendix C: Formulae * Appendix D: Answers to exercises * Appendix E: Literature
£46.99
Springer New York Ramanujans Lost Notebook Pt 1 Part I
Book SynopsisIn the library at Trinity College, Cambridge in 1976, George Andrews of Pennsylvania State University discovered a sheaf of pages in the handwriting of Srinivasa Ramanujan. Soon designated as "Ramanujan’s Lost Notebook," it contains considerable material on mock theta functions and undoubtedly dates from the last year of Ramanujan’s life.Trade Reviewhematicians interested in the work of Ramanujan, will delight in studying this book … ." (Andrew V. Sills, Mathematical Reviews, Issue 2005 m)Table of ContentsPreface.- Introduction.- The Rogers–Ramanujan Continued Fraction and Its Modular Properties.- Explicit Evaluations of the Rogers–Ramanujan Continued Fraction.- A Fragment on the Rogers–Ramanujan and Cubic Continued Fractions.- The Rogers–Ramanujan Continued Fraction and Its Connections with Partitions and Lambert Series.- Finite Rogers–Ramanujan Continued Fractions.- Other q-continued Fractions.- Asymptotic Formulas for Continued Fractions.- Ramanujan’s Continued Fraction for (q2; q3)8/(q; q3)8.- The Rogers–Fine Identity.- An Empirical Study of the Rogers–Ramanujan Identities.- Rogers–Ramanujan–Slater Type Identities.- Partial Fractions.- Hadamard Products for Two q-Series.- Integrals of Theta-functions.- Incomplete Elliptic Integrals.- Infinite Integrals of q-Products.- Modular Equations in Ramanujan’s Lost Notebook.- Fragments on Lambert Series.- Location Guide.- Provenance.- References.- Index.
£104.49
Copernicus Hilbert Diseases
Book SynopsisI Youth.- II Friends and Teachers.- III Doctor of Philosophy.- IV Paris.- V Gordan's Problem.- VI Changes.- VII Only Number Fields.- VIII Tables, Chairs, and Beer Mugs.- IX Problems.- X The Future of Mathematics.- XI The New Century.- XII Second Youth.- XIII The Passionate Scientific Life.- XIV Space, Time and Number.- XV Friends and Students.- XVI Physics.- XVII War.- XVIII The Foundations of Mathematics.- XIX The New Order.- XX The Infinite!.- XXI Borrowed Time.- XXII Logic and the Understanding of Nature.- XXIII Exodus.- XXIV Age.- XXV The Last Word.Trade ReviewFrom the reviews: THE BULLETIN OF MATHEMATICS BOOKS "Originally published to great acclaim, both books explore the dramatic scientific history expressed in the lives of these two great scientists and described in the lively, nontechnical writing style of Constance Reid."Table of ContentsI Youth.- II Friends and Teachers.- III Doctor of Philosophy.- IV Paris.- V Gordan’s Problem.- VI Changes.- VII Only Number Fields.- VIII Tables, Chairs, and Beer Mugs.- IX Problems.- X The Future of Mathematics.- XI The New Century.- XII Second Youth.- XIII The Passionate Scientific Life.- XIV Space, Time and Number.- XV Friends and Students.- XVI Physics.- XVII War.- XVIII The Foundations of Mathematics.- XIX The New Order.- XX The Infinite!.- XXI Borrowed Time.- XXII Logic and the Understanding of Nature.- XXIII Exodus.- XXIV Age.- XXV The Last Word.
£26.99
Cambridge University Press EOM 70 Orthonormal Systems Encyclopedia of Mathematics and its Applications Series Number 70
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£60.10
Cambridge University Press Functional Equations in Several Variables 31 Encyclopedia of Mathematics and its Applications Series Number 31
Book SynopsisThis treatise deals with modern theory of functional equations in several variables and their applications to mathematics, information theory, and the natural, behavioural and social sciences. The authors have chosen to emphasize applications, though not at the expense of theory, so they have kept the prerequisites to a minimum.Trade Review"The book has been designed so that the chapters can be read almost independently of each other. This beautifully written treatise is very useful as a reference book for research workers in the area." Mathematical Reviews"...this is an excellent reference book, in general, for senior and higher level physics students, and perhaps for numerical analysts working on computer algorithms....I would not hesitate to recommend this book to any physics and geophysics graduate students, as well as to some interested faculty members." Physics in CanadaTable of ContentsPreface; Further information; 1. Axiomatic motivation of vector addition; 2. Cauchy's equation: Hamel basis; 3. Three further Cauchy equations: an application to information theory; 4. Generalizations of Cauchy's equations to several multiplace vector and matrix functions: an application to geometric objects; 5. Cauchy's equations for complex functions: applications to harmonic analysis and to information measures; 6. Conditional Cauchy equations: an application to geometry and a characterization of the Heaviside functions; 7. Addundancy, extensions, quasi-extensions and extensions almost everywhere: applications to harmonic analysis and to rational decision making; 8. D'Alembert's functional equation: an application to noneuclidean mechanics; 9. Images of sets and functional equations: applications to relativity theory and to additive functions bounded on particular sets; 10. Some applications of functional equations in functional analysis, in the geometry of Banach spaces and in valauation theory; 11. Characterizations of inner product spaces: an application to gas dynamics; 12. Some related equations and systems of equations: applications to combinatorics and Markov processes; 13. Equations for trigonometric and similar functions; 14. A class of equations generalizing d'Alembert and Cauchy Pexider-type equations; 15. A further generalization of Pexider's equation: a uniqueness theorem: an application to mean values; 16. More about conditional Cauchy equations: applications to additive number theoretical functions and to coding theory; 17. Mean values, mediality and self-distributivity; 18. Generalized mediality: connection to webs and nomograms; 19. Further composite equations: an application to averaging theory; 20. Homogeneity and some generalizations: applications to economics; 21. Historical notes; Notations and symbols; Hints to selected 'exercises and further results'; Bibliography; Author index; Subject index.
£88.78
Cambridge University Press Entropy Compactness and the Approximation of Operators 98 Cambridge Tracts in Mathematics Series Number 98
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£51.21
Cambridge University Press An Introduction to Fourier Analysis and Generalised Functions
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£31.43
Cambridge University Press Fourier Transforms 52 Cambridge Tracts in Mathematics Series Number 52
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£46.21
Cambridge University Press Volterra Integral and Functional Equations 34 Encyclopedia of Mathematics and its Applications Series Number 34
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£104.38
Cambridge University Press Nonlinear Markov Processes and Kinetic Equations
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£73.99
Cambridge University Press Variational Principles in Mathematical Physics Geometry and Economics Qualitative Analysis of Nonlinear Equations and Unilateral Problems 136 and its Applications Series Number 136
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£129.00
Cambridge University Press Geometric Applications of Fourier Series and Spherical Harmonics 61 Encyclopedia of Mathematics and its Applications Series Number 61
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£63.07
Cambridge University Press Banach Algebras and the General Theory of Algebras Volume I Algebras and Banach Algebras Volume 1 Algebras and Banach Algebras 49 Encyclopedia and its Applications Series Number 49
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£110.92
Cambridge University Press The Levy Laplacian 166 Cambridge Tracts in Mathematics Series Number 166
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£43.30
Cambridge University Press Locally Convex Spaces over NonArchimedean Valued Fields
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£141.00
Cambridge University Press Functional Equations in Several Variables 31 Encyclopedia of Mathematics and its Applications Series Number 31
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£141.00
Cambridge University Press Iterative Functional Equations 32 Encyclopedia of Mathematics and its Applications Series Number 32
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£159.00
Cambridge University Press LMS 137 Analysis at Urbana Volume 1 Volume 1 Analysis in Function Spaces London Mathematical Society Lecture Note Series Series Number 137
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£86.92
Cambridge University Press Volterra Integral and Functional Equations 34 Encyclopedia of Mathematics and its Applications Series Number 34
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£161.00
Cambridge University Press LMS 202 Techniques Pseudo Diffrntl London Mathematical Society Lecture Note Series Series Number 202
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£60.75
Cambridge University Press Heat Kernels and Spectral Theory
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£60.10
Cambridge University Press Absolutely Summing Operators 43 Cambridge Studies in Advanced Mathematics Series Number 43
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£101.00
Cambridge University Press Exercises in Fourier Analysis
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£55.99
Cambridge University Press Natural Dualities for the Working Algebraist 57 Cambridge Studies in Advanced Mathematics Series Number 57
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£141.00
Cambridge University Press Introduction to Hp Spaces 115 Cambridge Tracts in Mathematics Series Number 115
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£111.00
Cambridge University Press Ergodic Theory and Harmonic Analysis Proceedings of the 1993 Alexandria Conference 205 London Mathematical Society Lecture Note Series Series Number 205
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£60.75
Cambridge University Press Multivalent Functions 110 Cambridge Tracts in Mathematics Series Number 110
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£111.00
Cambridge University Press Geometric Applications of Fourier Series and Spherical Harmonics
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£111.00
Cambridge University Press Dynamics of Linear Operators 179 Cambridge Tracts in Mathematics Series Number 179
Book SynopsisThe first book to assemble the wide body of theory which has rapidly developed on the dynamics of linear operators. Written for researchers in operator theory, but also accessible to anyone with a reasonable background in functional analysis at the graduate level.Trade Review'The beginning of each chapter sets the stage for what is to follow and each concludes with detailed comments, notes, references and a carefully selected list of problems. These serve the reader well, providing historical motivation as well as resources for further work … the book … is well developed, the material is well motivated and the selected topics that are explained include original results along with important simplifications of proofs from the existing research literature. The book has an extensive list of references covering the topics discussed, making it an excellent guide for students of the subject … this well-written book is a valuable resource for anyone working in Operator Theory, but is also accessible to anyone with a reasonable background in functional analysis at the graduate level.' Mathematical ReviewsTable of ContentsIntroduction; 1. Hypercyclic and supercyclic operators; 2. Hypercyclicity everywhere; 3. Connectedness and hypercyclicity; 4. Weakly mixing operators; 5. Ergodic theory and linear dynamics; 6. Beyond hypercyclicity; 7. Common hypercyclic vectors; 8. Hypercyclic subspaces; 9. Supercyclicity and the angle criterion; 10. Linear dynamics and the weak topology; 11. Universality of the Riemann zeta function; 12. About 'the' Read operator; Appendices; Notations; Index; Bibliography.
£82.99
Cambridge University Press Fourier and Laplace Transforms
Book SynopsisThis textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and compTrade Review'… excellent textbook …' Zentralblatt MATHTable of ContentsPreface; Introduction; 1. Signals and systems; 2. Mathematical prerequisites; 3. Fourier series: definition and properties; 4. The fundamental theorem of Fourier series; 5. Applications of Fourier series; 6. Fourier integrals: definition and properties; 7. The fundamental theorem of the Fourier integral; 8. Distributions; 9. The Fourier transform of distributions; 10. Applications of the Fourier integral; 11. Complex functions; 12. The Laplace transform: definition and properties; 13. Further properties, distributions, and the fundamental theorem; 14. Applications of the Laplace transform; 15. Sampling of continuous-time signals; 16. The discrete Fourier transform; 17. The fast Fourier transform; 18. The z-transform; 19. Applications of discrete transforms.
£71.99
Cambridge University Press Introduction to Banach Algebras Operators and Harmonic Analysis 57 London Mathematical Society Student Texts Series Number 57
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£54.99
Cambridge University Press Func Anly Prob Stoch Processes
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£65.99
Cambridge University Press An Introduction to Harmonic Analysis
Book SynopsisFirst published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. This new edition has been revised by the author, to include several new sections and a new appendix.Trade Review'… the third, revised, edition … Katznelson managed to improve on a seemingly perfect book!' Nieuw Archif voor WiskundeTable of Contents1. Fourier series on T; 2. The convergence of Fourier series; 3. The conjugate function; 4. Interpolation of linear operators; 5. Lacunary series and quasi-analytic classes; 6. Fourier transforms on the line; 7. Fourier analysis on locally compact Abelian groups; 8. Commutative Banach algebras; A. Vector-valued functions; B. Probabilistic methods.
£52.20
Cambridge University Press A Mathematical Introduction to Wavelets 37 London Mathematical Society Student Texts Series Number 37
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£106.00
Cambridge University Press Automorphic Forms on SL2 R 130 Cambridge Tracts in Mathematics Series Number 130
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£111.00
Cambridge University Press LMS 234 Introduction to Subfactors London Mathematical Society Lecture Note Series Series Number 234
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£76.75
Cambridge University Press Spectral Theory and Differential Op 42 Cambridge
Book SynopsisThis book is an introduction to the theory of partial differential operators. It assumes that the reader has a knowledge of introductory functional analysis, up to the spectral theorem for bounded linear operators on Banach spaces. However, it describes the theory of Fourier transforms and distributions as far as is needed to analyse the spectrum of any constant coefficient partial differential operator. A completely new proof of the spectral theorem for unbounded self-adjoint operators is followed by its application to a variety of second-order elliptic differential operators, from those with discrete spectrum to SchrÃdinger operators acting on L2(RN). The book contains a detailed account of the application of variational methods to estimate the eigenvalues of operators with measurable coefficients defined by the use of quadratic form techniques. This book could be used either for self-study or as a course text, and aims to lead the reader to the more advanced literature on the subjecTrade Review' … a new approach to the spectral theorem for self-adjoint unbounded operators … For readers with standard background in functional analysis and bounded operator theory the book can serve as a missing link to the more advanced literature.' Monatshefte für Mathematik' … a concise and nicely written introduction to many important areas of this vast mathematical discipline … This short book (180 pages) will be very useful both to students and researchers working in related areas of mathematics and physics.' European Mathematical SocietyTable of Contents1. The fundamental ideas; 2. The spectral theorem; 3. Translation invariant operators; 4. The variation methods; 5. Further spectral results; 6. Dirichlet boundary conditions; 7. Neumann boundary conditions; 8. Schrödinger operators.
£59.11
Cambridge University Press Fourier Series and Integral Transforms
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£99.99
Cambridge University Press Fourier Series and Integral Transforms
Book SynopsisThis book's aim is to provide the reader with a basic understanding of Fourier series and transforms, and Laplace transforms. It is based on the authors' notes for a one semester course. Prerequisites are a basic course in both calculus and linear algebra. Otherwise the material is self-contained with exercises and examples of applications.Trade Review"With its frequent examples and exercises, the present book is eminently suitable for both self-study and a one-semester course." ChoiceTable of Contents1. Notation and terminology; 2. Background: inner product spaces; 3. Fourier series; 4. Fourier transforms; 5. The Laplace transform; Appendices.
£40.99
Cambridge University Press A Short Course on Banach Space Theory 64 London Mathematical Society Student Texts Series Number 64
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£48.24
Cambridge University Press Fredholm Theory in Banach Spaces
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£46.99
