Syllabus
Topological groups, Haar measure, convolutions, L_1(G) as a Banach algebra, dual group, Fourier transform, Bochner and Plancherel theorem, Pontryagin duality.
Annotation
Non-repeated universal elective course. 2020-21: Fourier analysis on groups generalizes theory of Fourier series and Fourier transform on R^n.
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