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arxiv: math/0406261 · v2 · submitted 2004-06-14 · 🧮 math.CA · math.CV

Analytic representation of functions and a new quasi-analyticity threshold

classification 🧮 math.CA math.CV
keywords almostanalyticanti-analyticcharacterizeconvergingdecayeverywherefunctions
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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.

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