Almost uniform convergence in Wiener-Wintner ergodic theorem
Functional Analysis
2020-03-25 v1
Abstract
We extend almost everywhere convergence in Wiener-Wintner ergodic theorem for -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.
Cite
@article{arxiv.2003.10497,
title = {Almost uniform convergence in Wiener-Wintner ergodic theorem},
author = {Vladimir Chilin and Semyon Litvinov},
journal= {arXiv preprint arXiv:2003.10497},
year = {2020}
}