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Introduction To Abstract Harmonic Analysis


Introduction To Abstract Harmonic Analysis
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Introduction To Abstract Harmonic Analysis


Introduction To Abstract Harmonic Analysis
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Author : Lynn H. Loomis
language : en
Publisher: Courier Corporation
Release Date : 2013-05-09

Introduction To Abstract Harmonic Analysis written by Lynn H. Loomis and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-09 with Mathematics categories.


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.



A Course In Abstract Harmonic Analysis


A Course In Abstract Harmonic Analysis
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Author : Gerald B. Folland
language : en
Publisher: CRC Press
Release Date : 1994-12-27

A Course In Abstract Harmonic Analysis written by Gerald B. Folland and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-27 with Mathematics categories.


Abstract theory remains an indispensable foundation for the study of concrete cases. It shows what the general picture should look like and provides results that are useful again and again. Despite this, however, there are few, if any introductory texts that present a unified picture of the general abstract theory. A Course in Abstract Harmonic Analysis offers a concise, readable introduction to Fourier analysis on groups and unitary representation theory. After a brief review of the relevant parts of Banach algebra theory and spectral theory, the book proceeds to the basic facts about locally compact groups, Haar measure, and unitary representations, including the Gelfand-Raikov existence theorem. The author devotes two chapters to analysis on Abelian groups and compact groups, then explores induced representations, featuring the imprimitivity theorem and its applications. The book concludes with an informal discussion of some further aspects of the representation theory of non-compact, non-Abelian groups.



Principles Of Harmonic Analysis


Principles Of Harmonic Analysis
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Author : Anton Deitmar
language : en
Publisher: Springer
Release Date : 2014-06-21

Principles Of Harmonic Analysis written by Anton Deitmar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-21 with Mathematics categories.


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.



An Introduction To Abstract Harmonic Analysis


An Introduction To Abstract Harmonic Analysis
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Author : Lynn H. Loomis
language : en
Publisher:
Release Date : 1953

An Introduction To Abstract Harmonic Analysis written by Lynn H. Loomis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with Algebra, Abstract categories.




Abstract Harmonic Analysis Of Continuous Wavelet Transforms


Abstract Harmonic Analysis Of Continuous Wavelet Transforms
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Author : Hartmut Führ
language : en
Publisher: Springer
Release Date : 2005-01-17

Abstract Harmonic Analysis Of Continuous Wavelet Transforms written by Hartmut Führ and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-17 with Mathematics categories.


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.



A Course In Abstract Harmonic Analysis


A Course In Abstract Harmonic Analysis
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Author : Gerald B. Folland
language : en
Publisher: CRC Press
Release Date : 2016-02-03

A Course In Abstract Harmonic Analysis written by Gerald B. Folland and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-03 with Mathematics categories.


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



An Introduction To Harmonic Analysis


An Introduction To Harmonic Analysis
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Author : Yitzhak Katznelson
language : en
Publisher:
Release Date : 1968

An Introduction To Harmonic Analysis written by Yitzhak Katznelson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Harmonic analysis categories.




Introduction To Harmonic Analysis And Generalized Gelfand Pairs


Introduction To Harmonic Analysis And Generalized Gelfand Pairs
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Author : Gerrit van Dijk
language : en
Publisher: Walter de Gruyter
Release Date : 2009-12-23

Introduction To Harmonic Analysis And Generalized Gelfand Pairs written by Gerrit van Dijk and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-23 with Mathematics categories.


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



Introduction To The Representation Theory Of Compact And Locally Compact Groups


Introduction To The Representation Theory Of Compact And Locally Compact Groups
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Author : Alain Robert
language : en
Publisher: Cambridge University Press
Release Date : 1983-02-10

Introduction To The Representation Theory Of Compact And Locally Compact Groups written by Alain Robert and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-02-10 with Mathematics categories.


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.



An Introduction To Abstract Harmonic Analysis Abstract Harmonic Analysis


An Introduction To Abstract Harmonic Analysis Abstract Harmonic Analysis
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Author : Bateman Manuscript Project
language : en
Publisher:
Release Date : 1953

An Introduction To Abstract Harmonic Analysis Abstract Harmonic Analysis written by Bateman Manuscript Project and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with categories.