A note on uniform convergence of Wiener-Wintner ergodic averages

2019/12/05 by Bähring, Markus
#37A15 #37A30 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1912.02630

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.

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