Analytic representation of functions and a new quasi-analyticity threshold

Pages 1033-1064 from Volume 164 (2006), Issue 3 by Gady Kozma, Alexander Olevskiĭ

Abstract

We characterize precisely the possible rate of decay of the anti-analytic half of a trigonometric series converging to zero almost everywhere.

DOI
https://doi.org/10.4007/annals.2006.164.1033
MR
2259252
zbMATH
1215.42012
Milestones
Received: 14 June 2004
Revised: 16 February 2005
Accepted: 25 March 2005
Published online: 1 March 2009

Authors

Gady Kozma

Faculty of Mathematics and Computer Science, Weizmann Institute of Science, 76100 Rehovot, Israel

Alexander Olevskiĭ

School of Mathematical Sciences, Tel Aviv University, 69978 Tel Aviv, Israel