• Fourier series. The Riemann-Lebesgue Theorem. The Dirichlet condition for convergence. The Gibbs Phenomenon. Fejer kernels and Cesaro summation of Fourier series.
• 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. Digital filtering.

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