Uniformity in the polynomial Wiener–Wintner theorem

Nikos Frantzikinakis

Type: Article

Publication Date: 2006-07-10

Citations: 18

DOI: https://doi.org/10.1017/s0143385706000204

Abstract

In 1993, E. Lesigne proved a polynomial extension of the Wiener–Wintner theorem and asked two questions: does this result have a uniform counterpart and can an assumption of total ergodicity be replaced by ergodicity? The purpose of this article is to answer these questions, the first one positively and the second one negatively.

Locations

Ergodic Theory and Dynamical Systems - View
arXiv (Cornell University) - View - PDF

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Works Cited by This (3)

Action	Title	Year	Authors
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter
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+	Harmonic Analysis and Ergodic Theory	1941	Norbert Wiener Aurel Wintner