van der Corput inequality for real line and Wiener-Wintner theorem for amenable groups

We extend the classical van der Corput inequality to the real line. As a consequence, we obtain a simple proof of the Wiener-Wintner theorem for the RR-action which assert that for any family of maps (Tt)t∈R(Tt)t∈R acting on the Lebesgue measure space (Ω,A,μ)(Ω,A,μ), where μμ is a probability measur...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Constructive mathematical analysis 2021-12, Vol.4 (4), p.420-427
1. Verfasser:	El Houcein, El Abdalaoui
Format:	Artikel
Sprache:	eng
Schlagworte:	Dynamical Systems Mathematics
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!