Applied Functional Analysis

Course Description

Hölder and Lebesgue spaces. Fractal dimensions: Hausdorff and Minkowski dimensions (box dimension). Fractal analysis of chirps. Spaces of distributions. Schwarz space of rapidly decreasing functions. Fourier transformation of distributions. Tempered distributions or distributions of slow growth. Weak derivatives. Sobolev spaces. Weak formulation of boundary value problems. Regularity of solutions. Galerkin method. Besov spaces and their role in wavelet theory.

Grading System