On the Wiener-Wintner theorem for nilsequences
Dynamical Systems
2012-08-24 v4
Abstract
We give a Fourier analytic proof of the generalisation due to Host and Kra of the classical Wiener-Wintner theorem and give some explicit bounds on the limit of the weighted ergodic averages.
Cite
@article{arxiv.1204.4939,
title = {On the Wiener-Wintner theorem for nilsequences},
author = {Tanja Eisner},
journal= {arXiv preprint arXiv:1204.4939},
year = {2012}
}
Comments
This paper is extended and replaced by arXiv:1208.3977 - "Uniformity in the Wiener-Wintner theorem for nilsequences" jointly with Pavel Zorin-Kranich. The present version is withdrawn