Fourier Analysis: Course Outline (MAT-611)

Fourier coefficients, Fourier series of square-summable functions, absolutely convergent Fourier series, Fourier coefficients of linear functionals, The convergence of Fourier series, Fourier transforms on L¹(R), Fourier transforms on L^p(R), The Payley-Wienner theorems. Locally compact groups, the Haar measure, characteristic and the dual group, Fourier transforms, almost periodic functions and the Bohr compactification. 

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