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RT7.3. Finite Abelian Groups: Convolution

Representation Theory: We define convolution of two functions on L^2(G) and note general properties. Three themes: convolution as an analogue of matrix multiplication, convolution with character as an orthogonal projection on L^2(G), and using using convolution to project onto irreducible types in representations. Course materials, including problem sets and solutions, available at http://mathdoctorbob.org/UR-RepTheory.html
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