TY  - BOOK
AU  - Varadarajan, V.S.
TI  - Introduction to harmonic analysis on semisimple lie groups
SN  - 9780521663625
U1  - 515.2433 
PY  - 1999///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Semisimple Lie groups
KW  - Harmonic analysis
KW  - Representations of Lie groups
KW  - Representations of groups
KW  - Mathematics
N1  - Originally published: 1989. Includes bibliographical references (p. [310]-312) and index
N2  - 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
ER  -