Fourier Analysis on the Torus

A couple months ago I uploaded to my homepage my final project for a topics class in harmonic analysis. My project consists of a survey of the basics of Fourier analysis on the n-torus and advanced results such as Kolmogorov’s construction of an L1 function whose Fourier series diverges a.e. My write-up includes proofs of most of the advanced results on convergence of Fourier series, short of the Carleson-Hunt theorem, in addition to (unlabeled) solutions to numerous exercises in Grafakos’ Classical Fourier Analysis. You can find the PDF here.

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