University of Georgia
Mathematics Department Colloquium
Professor Michael Lacey
Georgia Institute of Technology
October 5, 2000
Convergence of Fourier Series: Past, Present, Future
Abstract: One of Lennart Carleson's famous theorems states
that the Fourier series of square integrable functions
on the circle converge pointwise. Its method of proof
requires techniques of analysis of functions in both
time and frequency variables, methods which in recent
years have found a range of applications to other difficult
areas of harmonic analysis. This talk will survey the
developments associated to Carleson's theorem, and some of the challenging
questions that remain unresolved.