An introduction to harmonic analysis on semisimple Lie groups /

Varadarajan, V. S.

An introduction to harmonic analysis on semisimple Lie groups / V.S. Varadarajan. - Cambridge ; New York : Cambridge University Press, 1989. - x, 316 p. : ill. ; 24 cm. - Cambridge studies in advanced mathematics ; 16 .

Includes index.

Bibliography: p. [310]-312.


Compact groups : the work of Weyl
Unitary representations of locally compact groups
Parabolic induction, principal series representations, and their characters
Representations of the Lie algebra
Plancherel formula
Invariant eigendistributions
Harmonic analysis of the Schwartz space

Now in paperback, this graduate-level textbook introduces the representation theory of semi-simple Lie groups. Containing appendices sketching some basic topics with a comprehensive guide to further reading, it is suitable for research students in algebra and analysis, and for research mathematicians requiring a readable account of the topic.

9780521663625


Harmonic analysis.
Semisimple Lie groups.
Representations of Lie groups.

515.243 / VAR