Uniformity in the polynomial Wiener-Wintner theorem

Details Uniformity in the polynomial Wiener-Wintner theorem Uniformity in the polynomial Wiener-Wintner theorem

2006-01-07

arxiv.org/abs/math/0601142v1

Mathematics

Dynamical Systems

12 pages

Scientific paper

In 1993, E. Lesigne proved a polynomial extension of the Wiener-Wintner
ergodic 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.

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