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15th Southeastern Analysis Meeting and Shanks Lecture
May 20-23, 1999
Vanderbilt University
Nashville, TN, USA

Organizers
Daoxing Xia, Dechao Zheng, Eric Schechter

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Carleson's Theorem on Fourier series: A new proof
by
Michael Lacey
Georgia Institute of Technology
Coauthors: Christoph Thiele (UCLA)

In 1965, Carleson proved that Fourier series of square integrable functions converge pointwise. The celebrated proof introduced novel methods in the analysis of functions in the time-frequency plane. I will outline a new proof of this result. In spirit, this new method is a combination of the two known proofs, Carleson's analysis of the function, and Fefferman's subsequent proof which is an analysis of the maximal operator. It is also, in my opinion, substantially easier than these two proofs.

Date received: February 12, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacb-04.