Introduction To Abstract Harmonic Analysis PDF Download
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Author | : Lynn H. Loomis |
Publisher | : Courier Corporation |
Total Pages | : 210 |
Release | : 2013-05-09 |
Genre | : Mathematics |
ISBN | : 0486282317 |
Download Introduction to Abstract Harmonic Analysis Book in PDF, ePub and Kindle
Written by a prominent figure in the field of harmonic analysis, this classic monograph is geared toward advanced undergraduates and graduate students and focuses on methods related to Gelfand's theory of Banach algebra. 1953 edition.
Author | : Gerald B. Folland |
Publisher | : CRC Press |
Total Pages | : 317 |
Release | : 2016-02-03 |
Genre | : Mathematics |
ISBN | : 1498727158 |
Download A Course in Abstract Harmonic Analysis Book in PDF, ePub and Kindle
A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern analysis, and it contains a number of elegant resul
Author | : Anton Deitmar |
Publisher | : Springer |
Total Pages | : 330 |
Release | : 2014-06-21 |
Genre | : Mathematics |
ISBN | : 3319057928 |
Download Principles of Harmonic Analysis Book in PDF, ePub and Kindle
This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.
Author | : Hartmut Führ |
Publisher | : Springer |
Total Pages | : 207 |
Release | : 2005-01-17 |
Genre | : Mathematics |
ISBN | : 3540315527 |
Download Abstract Harmonic Analysis of Continuous Wavelet Transforms Book in PDF, ePub and Kindle
This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a – reasonably self-contained – exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.
Author | : Lynn H. Loomis |
Publisher | : |
Total Pages | : 0 |
Release | : 1953 |
Genre | : Algebra, Abstract |
ISBN | : |
Download An Introduction to Abstract Harmonic Analysis Book in PDF, ePub and Kindle
Author | : Gerrit van Dijk |
Publisher | : Walter de Gruyter |
Total Pages | : 234 |
Release | : 2009-12-23 |
Genre | : Mathematics |
ISBN | : 3110220202 |
Download Introduction to Harmonic Analysis and Generalized Gelfand Pairs Book in PDF, ePub and Kindle
This book is intended as an introduction to harmonic analysis and generalized Gelfand pairs. Starting with the elementary theory of Fourier series and Fourier integrals, the author proceeds to abstract harmonic analysis on locally compact abelian groups and Gelfand pairs. Finally a more advanced theory of generalized Gelfand pairs is developed. This book is aimed at advanced undergraduates or beginning graduate students. The scope of the book is limited, with the aim of enabling students to reach a level suitable for starting PhD research. The main prerequisites for the book are elementary real, complex and functional analysis. In the later chapters, familiarity with some more advanced functional analysis is assumed, in particular with the spectral theory of (unbounded) self-adjoint operators on a Hilbert space. From the contents Fourier series Fourier integrals Locally compact groups Haar measures Harmonic analysis on locally compact abelian groups Theory and examples of Gelfand pairs Theory and examples of generalized Gelfand pairs
Author | : Yitzhak Katznelson |
Publisher | : |
Total Pages | : 292 |
Release | : 1968 |
Genre | : Harmonic analysis |
ISBN | : |
Download An Introduction to Harmonic Analysis Book in PDF, ePub and Kindle
Author | : H. Garth Dales |
Publisher | : Cambridge University Press |
Total Pages | : 338 |
Release | : 2003-11-13 |
Genre | : Mathematics |
ISBN | : 9780521535847 |
Download Introduction to Banach Algebras, Operators, and Harmonic Analysis Book in PDF, ePub and Kindle
Table of contents
Author | : Alain Robert |
Publisher | : Cambridge University Press |
Total Pages | : 217 |
Release | : 1983-02-10 |
Genre | : Mathematics |
ISBN | : 0521289750 |
Download Introduction to the Representation Theory of Compact and Locally Compact Groups Book in PDF, ePub and Kindle
Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained. The author gives direct and concise proofs of all results yet avoids the heavy machinery of functional analysis. Moreover, representative examples are treated in some detail.
Author | : Gerrit Heckman |
Publisher | : Academic Press |
Total Pages | : 239 |
Release | : 1995-02-08 |
Genre | : Mathematics |
ISBN | : 0080533299 |
Download Harmonic Analysis and Special Functions on Symmetric Spaces Book in PDF, ePub and Kindle
The two parts of this sharply focused book, Hypergeometric and Special Functions and Harmonic Analysis on Semisimple Symmetric Spaces, are derived from lecture notes for the European School of Group Theory, a forum providing high-level courses on recent developments in group theory. The authors provide students and researchers with a thorough and thoughtful overview, elaborating on the topic with clear statements of definitions and theorems and augmenting these withtime-saving examples. An extensive set of notes supplements the text. Heckman and Schlichtkrull extend the ideas of harmonic analysis on semisimple symmetric spaces to embrace the theory of hypergeometric and spherical functions and show that the K-variant Eisenstein integrals for G/H are hypergeometric functions under this theory. They lead readers from the fundamentals of semisimple symmetric spaces of G/H to the frontier, including generalization, to the Riemannian case. This volume will interest harmonic analysts, those working on or applying the theory of symmetric spaces; it will also appeal to those with an interest in special functions. Extends ideas of harmonic analysis on symmetric spaces First treatment of the theory to include hypergeometric and spherical functions Links algebraic, analytic, and geometric methods