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arXiv · 1208.3977

Uniformity in the Wiener-Wintner theorem for nilsequences

Tanja Eisner·Pavel Zorin-Kranich
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Abstract

We prove a uniform extension of the Wiener-Wintner theorem for nilsequences due to Host and Kra and a nilsequence extension of the topological Wiener-Wintner theorem due to Assani. Our argument is based on (vertical) Fourier analysis and a Sobolev embedding theorem.

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Tanja Eisner, Pavel Zorin-Kranich. 2012-08-20. Uniformity in the Wiener-Wintner theorem for nilsequences. https://doi.org/10.3934/dcds.2013.33.3497

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