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 |
-
Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
|
| 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
|
|
Permalink to this page
|
Back