On the Wiener-Wintner theorem for nilsequences

2012/04/22 by Eisner, Tanja
#28D05 #37A30 #37A45 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1204.4939

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.

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