An introduction to harmonic analysis on semisimple Lie groups
Varadarajan, V.S
An introduction to harmonic analysis on semisimple Lie groups - Cambridge; New York : Cambridge University Press, 1999. - x, 316 pages : illustrations ; - Cambridge studies in advanced mathematics, 16. .
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.
9780521663625 0521663628
Harmonic analysis.
515.2433 / VAR
An introduction to harmonic analysis on semisimple Lie groups - Cambridge; New York : Cambridge University Press, 1999. - x, 316 pages : illustrations ; - Cambridge studies in advanced mathematics, 16. .
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.
9780521663625 0521663628
Harmonic analysis.
515.2433 / VAR