Almost uniform convergence in Wiener-Wintner ergodic theorem

2020/03/23 by Chilin, Vladimir, Litvinov, Semyon
#37A05 #37A30 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2003.10497

Abstract

We extend almost everywhere convergence in Wiener-Wintner ergodic theorem for σ-finite measure to a generally stronger almost uniform convergence and present a larger, universal, space for which this convergence holds. We then extend this result to the case with Besicovitch weights.

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