Analytic representation of functions and a new quasi-analyticity threshold
Annals of mathematics, Tome 164 (2006) no. 3, pp. 1033-1064.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We characterize precisely the possible rate of decay of the anti-analytic half of a trigonometric series converging to zero almost everywhere.
DOI : 10.4007/annals.2006.164.1033

Gady Kozma 1 ; Alexander Olevskiĭ 2

1 Faculty of Mathematics and Computer Science, Weizmann Institute of Science, 76100 Rehovot, Israel
2 School of Mathematical Sciences, Tel Aviv University, 69978 Tel Aviv, Israel
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Gady Kozma; Alexander Olevskiĭ. Analytic representation of functions and a new quasi-analyticity threshold. Annals of mathematics, Tome 164 (2006) no. 3, pp. 1033-1064. doi : 10.4007/annals.2006.164.1033. http://geodesic.mathdoc.fr/articles/10.4007/annals.2006.164.1033/

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