A note on uniform convergence of Wiener-Wintner ergodic averages
Dynamical Systems
2019-12-06 v1
Abstract
We show uniform convergence of Wiener-Wintner ergodic averages for ergodic actions of (not necessarily countable) locally compact, second countable, abelian (LCA) groups. As a by-product, we obtain a finitary version of the van der Corput inequality for such groups.
Keywords
Cite
@article{arxiv.1912.02630,
title = {A note on uniform convergence of Wiener-Wintner ergodic averages},
author = {Markus Bähring},
journal= {arXiv preprint arXiv:1912.02630},
year = {2019}
}
Comments
15 pages