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Pré-Publication, Document De Travail Année : 2016

STUDY OF ALMOST EVERYWHERE CONVERGENCE OF SERIES BY MEANS OF MARTINGALE METHODS

Résumé

Martingale methods are used to study the almost everywhere convergence of general function series. Applications are given to ergodic series, which improves recent results of Fan [9], and to dilated series, including Dav-enport series, which completes results of Gaposhkin [12] (see also [13]). Application is also given to the almost everywhere convergence with respect to Riesz products of lacunary series.
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Dates et versions

hal-01261284 , version 1 (26-01-2016)

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  • HAL Id : hal-01261284 , version 1

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Christophe Cuny, Fan Ai-Hua. STUDY OF ALMOST EVERYWHERE CONVERGENCE OF SERIES BY MEANS OF MARTINGALE METHODS. 2016. ⟨hal-01261284⟩
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