Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
27/2020

A note on uniform convergence of Wiener-Wintner ergodic averages

Markus Bähring

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.

Received:
Feb 18, 2020
Published:
Feb 26, 2020
MSC Codes:
37A15, 37A30
Keywords:
Wiener-Wintner ergodic theorem, uniform convergence, actions of (countable) abelian groups

Related publications

Preprint
2019 Repository Open Access
Markus Bähring

A note on uniform convergence of Wiener-Wintner ergodic averages