Theory Of Distributions & Fourier Analysis

Topics include Hilbert spaces, convolution, regulaziation, Fourier series, Fourier transform, Fourier transform of the torus, Melin transform, Hankel transform, Laplace, transform, test functions, distributions, derivatives of distributions, elementary operations on distributions, convergence of distributions, fundamental solutions to partial differential equations such as the heat, wave, Schrodinger, and telegraph equations.

Credits

3 credits

Course Code

MA 650