TY - BOOK AU - Varadarajan, V.S TI - An introduction to harmonic analysis on semisimple Lie groups T2 - Cambridge studies in advanced mathematics, 16 SN - 9780521663625 U1 - 515.2433 PY - 1999/// CY - Cambridge, New York : PB - Cambridge University Press, KW - Harmonic analysis N1 - Includes Index; 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 N2 - Now in paperback, this graduate-level textbook introduces the representation theory of semi-simple Lie groups ER -