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25 Remote Warehouse Mathematics- Differential Equations

An Introduction to Harmonic Analysis on Semisimple Lie Groups

by

An Introduction to Harmonic Analysis on Semisimple Lie Groups Cover

 

Synopses & Reviews

Publisher Comments:

Now in paperback, this graduate-level textbook is an excellent introduction to the representation theory of semi-simple Lie groups. Professor Varadarajan emphasizes the development of central themes in the context of special examples. He begins with an account of compact groups and discusses the Harish-Chandra modules of SL(2,R) and SL(2,C). Subsequent chapters introduce the Plancherel formula and Schwartz spaces, and show how these lead to the Harish-Chandra theory of Eisenstein integrals. The final sections consider the irreducible characters of semi-simple Lie groups, and include explicit calculations of SL(2,R). The book concludes with appendices sketching some basic topics and with a comprehensive guide to further reading. This superb volume is highly suitable for students in algebra and analysis, and for mathematicians requiring a readable account of the topic.

Synopsis:

Now in paperback, this graduate-level textbook introduces the representation theory of semi-simple Lie groups.

Table of Contents

Preface; 1. Introduction; 2. Compact groups: the work of Weyl; 3. Unitary representations of locally compact groups; 4. Parabolic induction, principal series representations, and their characters; 5. Representations of the Lie algebra; 6. The Plancherel formula: character form; 7. Invariant eigendistributions; 8. Harmonic analysis of the Schwartz space; Appendix 1. Functional analysis; Appendix 2. Topological groups; Appendix 3. Lie groups and Lie algebras; References; Index.

Product Details

ISBN:
9780521663625
Author:
Varadarajan, V. S.
Publisher:
Cambridge University Press
Editor:
Bollobas, B.
Editor:
Fulton, W.
Author:
Fulton, W.
Author:
Sarnak, P.
Author:
Kirwan, F.
Author:
Katok, A.
Author:
Lmsst7
Author:
Bollobas, B.
Location:
Cambridge
Subject:
General
Subject:
Differential Equations
Subject:
Algebra - General
Subject:
Lie groups
Subject:
General Mathematics
Subject:
Mathematics-Differential Equations
Subject:
Mathematical Analysis
Edition Description:
Trade paper
Series:
Cambridge Studies in Advanced Mathematics
Series Volume:
16
Publication Date:
20100631
Binding:
TRADE PAPER
Grade Level:
College/higher education:
Language:
English
Illustrations:
Y
Pages:
328
Dimensions:
8.94x6.30x.65 in. .96 lbs.

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An Introduction to Harmonic Analysis on Semisimple Lie Groups New Trade Paper
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Product details 328 pages Cambridge University Press - English 9780521663625 Reviews:
"Synopsis" by , Now in paperback, this graduate-level textbook introduces the representation theory of semi-simple Lie groups.
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