Analytic representation of functions and a new quasi-analyticity threshold

Abstract

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

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