Content |
Chapter 01. Reminder on Fourier series and Lp spaces: Riemann-Lebesgue lemma, Dirichlet theorem, convolution of 2T-periodic functions, Fejer\'s theorem.
Chapter 02. Fourier transformation on R, convolution product, partition of the unit, application to regularization, Fourier transformation on L1. The Schwartz class S, Fourier transformation in S, Fourier-Plancherel transformation in L2. |