On the spectrum of shear flows and uniform ergodic theorems

Ben-Artzi, Jonathan ORCID: https://orcid.org/0000-0001-6184-9313 2014. On the spectrum of shear flows and uniform ergodic theorems. Journal of Functional Analysis 267 (1) , pp. 299-322. 10.1016/j.jfa.2014.04.012

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Abstract

The spectra of parallel flows (that is, flows governed by first-order differential operators parallel to one direction) are investigated, on both spaces and weighted- spaces. As a consequence, an example of a flow admitting a purely singular continuous spectrum is provided. For flows admitting more regular spectra the density of states is analyzed, and spaces on which it is uniformly bounded are identified. As an application, an ergodic theorem with uniform convergence is proved.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Elsevier
ISSN:	0022-1236
Date of Acceptance:	15 April 2014
Last Modified:	01 Nov 2022 11:24
URI:	https://orca.cardiff.ac.uk/id/eprint/94806

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