Analytic representation of functions and a new quasi-analyticity threshold

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

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Classical Analysis and ODEs, Complex Variables, 42A63, 42A50, 30B30, 42A61

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http://salesiana.dossiersoluciones.com/handle/123456789/127998

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406261
 http://arxiv.org/abs/math/0406261
 Ann. of Math. (2) 164 (2006), no. 3, 1033--1064

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arXiv