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A note on uniform convergence of Wiener-Wintner ergodic averages
Markus BähringAbstract
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:
- 18.02.20
- Published:
- 26.02.20
- MSC Codes:
- 37A15, 37A30
- Keywords:
- Wiener-Wintner ergodic theorem, uniform convergence, actions of (countable) abelian groups