2012/08/31 by Tanja Eisner, Pavel Zorin-Kranich · 1 citation
Mathematics · #math.DS #msc:37A45 #msc:37A30 #msc:28D05
paper · pdf · doi:10.3934/dcds.2013.33.3497
published as Discrete Contin. Dyn. Syst. 33 (2013) 3497-3516 · v3: 18 p., proof that the cube construction produces compact homogeneous spaces added, measurability issues in the proof of Theorem 1.5 addressed. We thank the anonymous referees for pointing out these gaps in v2
arxiv created 2012/10/22 · arxiv updated 2013/02/12
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.