ENGLISH

An introduction to harmonic analysis on semisimple Lie groups

By V. S. Varadarajan

Book information

Publisher
Cambridge University Press
Year
1989
ISBN
0521341566, 9780521341561
LCC
QA403 .V37 1999
Open Library ID
OL18399138M
Language
english
Format
DJVU
Filesize
6 MB (6706510 bytes)
Series
Cambridge studies in advanced mathematics 16
Pages
325\325
Library
Kolxo3
DPI
144
Time added
2009-07-20 03:45:11

Description

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.

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