A note on uniform convergence of Wiener-Wintner ergodic averages
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Submission date: 18. Feb. 2020
MSC-Numbers: 37A15, 37A30
Keywords and phrases: Wiener-Wintner ergodic theorem, uniform convergence, actions of (countable) abelian groups
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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.