Analytic representation of functions and a new quasi-analyticity threshold


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


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