Advertisement

Lie Groups pp 23-28 | Cite as

The Peter–Weyl Theorem

  • Daniel Bump
Chapter
Part of the Graduate Texts in Mathematics book series (GTM, volume 225)

Abstract

In this chapter, we assume that G is a compact group. Let C(G) be the convolution ring of continuous functions on G. It is a ring (without unit unless G is finite) under the multiplication of convolution:

Keywords

Hilbert Space Continuous Function Harmonic Analysis Representation Theory Topological Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Daniel Bump
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

Personalised recommendations