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Introduction to Harmonic Analysis and Generalized Gelfand Pairs
Buch
Buch
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Fachbuch
2009

Introduction to Harmonic Analysis and Generalized Gelfand Pairs

ISBN
EAN
978-3-11-022019-3
9783110220193
Artikel-Nr.
W9RLLRK
Kostenloser Versand
Rabatt
-8.9
%
CHF 131.00
CHF
119.33
Anzahl
1
Maximale
Lieferzeit
13
Arbeitstage
Mittwoch
13.10.2021
speech-bubble-svg Beschreibung
Englisch
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  
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Herausgeber/-in
Autorenporträt
Gerrit van Dijk, Leiden University, Netherlands
Leserkritik
"The book under review is basically self-contained, only requiring basic functional analysis, some knowledge of distribution theory and elementary Lie theory. The material presented in the book is carefully explained so that it can be used for self-study." Mathematical Reviews
Publikation
Deutschland
16.11.2009
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Sprache
Englisch
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Hardcover
223 Seiten
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