Lie Groups pp 23-28 | Cite as

The Peter–Weyl Theorem

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


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:


Hilbert Space Continuous Function Harmonic Analysis Representation Theory Topological Group 
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© Springer Science+Business Media New York 2013

Authors and Affiliations

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

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