On the Wiener-Wintner theorem for nilsequences

Details On the Wiener-Wintner theorem for nilsequences On the Wiener-Wintner theorem for nilsequences

2012-04-22

arxiv.org/abs/1204.4939v1

Mathematics

Dynamical Systems

11 pages

Scientific paper

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. The results are formulated for averages along
Folner sequences in Z.

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