Topics in Analysis

Undergraduate / Graduate

The aim of this course is to introduce undergraduate students who have already completed the standard analysis sequence to some further, more advanced topics in analysis. Possibly topics include, among many others: Fourier series and Fourier transform, wavelets, uncertainty principle; Hausdorff measure and dimension, fractal geometry; Harmonic functions and their properties, Brownian motion; Geometry of Banach spaces; Descriptive set theory.