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

DOI10.33205/cma.1029202zbMath1499.11244arXiv2107.08798OpenAlexW4226055140MaRDI QIDQ5078977

El Abdalaoui El Houcein

Publication date: 25 May 2022

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.08798

zbMATH Keywords

amenable groupWiener-Wintner theoremjoiningsvan der Corput inequality

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) General theory of distribution modulo (1) (11K06)

Cites Work

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• Un théorème de disjonction de systèmes dynamiques et une généralisation du théorème ergodique de Wiener—Wintner
• Double recurrence and almost sure convergence.
• A new class of rank-one transformations with singular spectrum
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Some characteristic properties of dynamical systems with quasi-discrete spectra
• Stationary Processes and Prediction Theory. (AM-44)
• Harmonic Analysis and Ergodic Theory

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