Syllabus - MA412
Fourier series. The Riemann-Lebesgue Theorem. The Dirichlet condition for
convergence. The Gibbs Phenomenon. Fejer kernels and Cesaro summation of
Fourier transforms on R. L1 and L2
functions. The Plancherel Theorem. Band-limited functions and the Shannon
Sampling Theorem. convolution and filtering.
Discrete Fourier transforms. The Fast Fourier transform and its applications.
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