Almost uniform convergence in the Wiener–Wintner ergodic theorem

Vladimir Chilin; Semyon Litvinov

doi:10.4064/sm200403-15-9

Almost uniform convergence in the Wiener–Wintner ergodic theorem

Vladimir Chilin
, Semyon Litvinov

Penn State Hazleton

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We extend almost everywhere convergence in the Wiener–Wintner ergodic theorem to a generally stronger almost uniform convergence and, in the case of infinite measure, we present a universal space for which this convergence holds. We then extend this result to the case with Besicovitch weights.

Original language	English (US)
Pages (from-to)	327-338
Number of pages	12
Journal	Studia Mathematica
Volume	259
Issue number	3
DOIs	https://doi.org/10.4064/sm200403-15-9
State	Published - 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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abstract = "We extend almost everywhere convergence in the Wiener–Wintner ergodic theorem to a generally stronger almost uniform convergence and, in the case of infinite measure, we present a universal space for which this convergence holds. We then extend this result to the case with Besicovitch weights.",

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PY - 2021

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AB - We extend almost everywhere convergence in the Wiener–Wintner ergodic theorem to a generally stronger almost uniform convergence and, in the case of infinite measure, we present a universal space for which this convergence holds. We then extend this result to the case with Besicovitch weights.

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JO - Studia Mathematica

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Almost uniform convergence in the Wiener–Wintner ergodic theorem

Abstract

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