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A note on uniform convergence of Wiener-Wintner ergodic averages

Published 5 Dec 2019 in math.DS | (1912.02630v1)

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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