An introduction to harmonic analysis on semisimple Lie groups

By: Varadarajan, V.SMaterial type: TextTextSeries: Cambridge studies in advanced mathematics, 16Publication details: Cambridge; New York : Cambridge University Press, 1999Description: x, 316 pages : illustrationsISBN: 9780521663625; 0521663628 Subject(s): Harmonic analysisDDC classification: 515.2433
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.
Summary: Now in paperback, this graduate-level textbook introduces the representation theory of semi-simple Lie groups.
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Reference 		Reference 515.2433 VAR (Browse shelf(Opens below)) Available 009873
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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.

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

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