Fourier Analysis, 7.5 credits

About the course

The course covers basic theory for Fourier series and Fourier integrals in L1 and L2. The connection between Fourier integrals and analytic functions (Paley-Wiener theorems, Hardy functions). Applications in various fields, for example heat propagation, isoperimetric inequality, equal distribution modulo 1, random walk, band- and timelimited signals, filters, Wiener-Hopf factorization.

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