Van der Corput sets in Z^d

Simple item page
dc.creatorBergelson, Vitaly
dc.creatorLesigne, Emmanuel
dc.date2007-10-25
dc.date.accessioned2026-07-07T08:38:36Z
dc.date.available2026-07-07T08:38:36Z
dc.descriptionIn this partly expository paper we study van der Corput sets in $\Z^d$, with a focus on connections with harmonic analysis and recurrence properties of measure preserving dynamical systems. We prove multidimensional versions of some classical results obtained for $d=1$ in \cite{K-MF} and \cite{R}, establish new characterizations, introduce and discuss some modifications of van der Corput sets which correspond to various notions of recurrence, provide numerous examples and formulate some natural open questions.
dc.identifierhttps://arxiv.org/abs/0710.4861
dc.identifierhttp://arxiv.org/abs/0710.4861
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140787
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.titleVan der Corput sets in Z^d
dc.typetext

Files

Collections

arXiv