HARMONIC ANALYSIS
Description
Trigonometric polynomials, Fourier series, Riemann-Lebesgue lemma, Féjer’s kernel, Féjer’s theorem, uniqueness of
Fourier series, Dirichlet kernel, study of partial sums of Fourier series with respect to pointwise convergence as well with
respect to the L^1-norm, Parseval’s identity, convergence of partial sums of Fourier series with respect to the L^2-norm,
isoperimetric inequality, the equidistribution theorem of Weyl, example of continuous nowhere differentiable function.
Division: Pure Mathematics