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RT7.2. Finite Abelian Groups: Fourier Analysis

Representation Theory: With orthogonality of characters, we have an orthonormal basis of L^2(G). We note the basic philosophy behind the Fourier transform and apply it to the character basis. From this comes the definition of convolution, explored in 7.3. Course materials, including problem sets and solutions, available at http://mathdoctorbob.org/UR-RepTheory.html
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