The Peter–Weyl Theorem
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:
KeywordsHilbert Space Continuous Function Harmonic Analysis Representation Theory Topological Group
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