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arXiv · 1511.08586

Study of almost everywhere convergence of series by means of martingale methods

Cuny Christophe·Ai Hua Fan
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Abstract

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 \cite{FanETDS}, and to dilated series, including Davenport series, which completes results of Gaposhkin \cite{Gaposhkin67} (see also \cite{Gaposhkin68}). Application is also given to the almost everywhere convergence with respect to Riesz products of lacunary series.

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Cuny Christophe, Ai Hua Fan. 2015-11-27. Study of almost everywhere convergence of series by means of martingale methods. https://arxiv.org/abs/1511.08586

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