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The exhaustive list of topics in Fourier Analysis in which we provide Help with Homework Assignment and Help with Project is as follows:

  • Definition, examples and uniqueness of Fourier series, Convolution, Cesaro summability and Abel summability of Fourier series, Mean square convergence of Fourier series, A continuous function with divergent Fourier series, Applications of Fourier series such as isoperimetric problem, wave equation, etc.
  • The Schwartz space, Fourier transform on the real line and basic properties, Approximate identity using Gaussian kernel, Solution of heat equation, Fourier inversion formula, Fourier transform for functions in Lp, 1=p=2,Theory of distributions, Fourier transform of a tempered distribution.
  • Poisson summation formula, Heisenberg’s uncertainty principle, Hardy's theorem, Paley-Wiener theorem, Wiener's theorem, Wiener-Tauberian theorem, Spherical harmonics and symmetry properties of Fourier transform, Multiple Fourier series and Fourier transform on Rn .