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RT7.1: Finite Abelian Groups: Character Orthogonality

We establish an analogue of Fourier analysis for a finite abelian group G. A decomposition of L^2(G) is given in terms of characters. Versions of Schur Orthogonality Relations and the Peter-Weyl Theorem are given. Course materials, including problem sets and solutions, available at http://mathdoctorbob.org/UR-RepTheory.html
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