A note on uniform convergence of Wiener-Wintner ergodic averages

Markus Bähring

Contact the author: Please use for correspondence this email.
Submission date: 18. Feb. 2020
Pages: 17
Bibtex
MSC-Numbers: 37A15, 37A30
Keywords and phrases: Wiener-Wintner ergodic theorem, uniform convergence, actions of (countable) abelian groups
Download full preprint: PDF (366 kB)
Link to arXiv: See the arXiv entry of this preprint.

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.