Fourier Analysis

Fourier series, including odd/even functions expansions, complex power series, generalized Fourier series. Convergence, applications to partial di#erential equations. Fourier transform: basic prop-erties, inversion of the FT, windowing, relation to the Laplace transform. Applications to partial di#erential equations. Wavelets and signal processing basic functions, transforming wavelets, short time Fourier transform.