Uniformity in the Wiener-Wintner theorem for nilsequences
| Authors | |
|---|---|
| Publication date | 2013 |
| Journal | Discrete and Continuous Dynamical Systems (DCDS) - Series A |
| Volume | Issue number | 33 | 8 |
| Pages (from-to) | 3497-3516 |
| Organisations |
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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. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.3934/dcds.2013.33.3497
(Final published version)
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