A note on uniform convergence of Wiener-Wintner ergodic averages

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.

15 pages

References in corpus (2)

• Bergelson's Theorem for weakly mixing C*-dynamical systems
• Topological Wiener-Wintner ergodic theorem with polynomial weights