Harmonic Analysis of Spherical Functions on Real Reductive Groups

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Last edited by MARC Bot
September 28, 2024 | History

Harmonic Analysis of Spherical Functions on Real Reductive Groups

The purpose of this book is to give a thorough treatment of the harmonic analysis of spherical functions on symmetric spaces. The theory was originally created by Harish-Chandra in the late 1950's and important additional contributions were made by many others in the succeeding years. The book attempts to give a definite treatment of these results from the spectral theoretic viewpoint. The harmonic analysis of spherical functions treated here contains the essentials of large parts of harmonic analysis of more general functions on semisimple Lie groups. Since the latter involves many additional technical complications, it will be very illuminating for any potential student of general harmonic analysis to see how the basic ideas emerge in the context of spherical functions. With this in mind, an attempt has been made only to use those methods (as far as possible) which generalize. Mathematicians and graduate students as well as mathematical physicists interested in semisimple Lie groups, homogeneous spaces, representations and harmonic analysis will find this book stimulating.

Publish Date
Language
English
Pages
365

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Previews available in: English

Edition Availability
Cover of: Harmonic Analysis of Spherical Functions on Real Reductive Groups
Harmonic Analysis of Spherical Functions on Real Reductive Groups
Dec 21, 2011, Springer
paperback
Cover of: Harmonic Analysis of Spherical Functions on Real Reductive Groups
Harmonic Analysis of Spherical Functions on Real Reductive Groups
1988, Springer Berlin Heidelberg
electronic resource / in English

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Book Details


Table of Contents

The Concept of a Spherical Function
Structure of Semisimple Lie Groups and Differential Operators on Them
The Elementary Spherical Functions
The Harish-Chandra Series for and the c-Function
Asymptotic Behaviour of Elementary Spherical Functions
The L2-Theory. The Harish-Chandra Transform on the Schwartz Space of G//K
LP-Theory of Harish-Chandra Transform. Fourier Analysis on the Spaces CP(G//K)
Bibliography
Subject Index.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
Berlin, Heidelberg
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics -- 101, Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics -- 101.

Classifications

Dewey Decimal Class
512.55, 512.482
Library of Congress
QA252.3, QA387, QA1-939

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (xiv, 365 pages).
Number of pages
365

ID Numbers

Open Library
OL27043003M
Internet Archive
harmonicanalysis00gang
ISBN 10
3642729584, 3642729568
ISBN 13
9783642729584, 9783642729560
OCLC/WorldCat
851704757

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History

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September 28, 2024 Edited by MARC Bot import existing book
July 1, 2019 Created by MARC Bot import new book