Ergodic averages with generalized weights

Doǧan Çömez, Semyon N. Litvinov

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

Two types of weighted ergodic averages are studied. It is shown that if F = {F n} is an admissible superadditive process relative to a measure preserving transformation, then a Wiener-Wintner type result holds for F. Using this result new good classes of weights generated by such processes are obtained. We also introduce another class of weights via the group of unitary functions, and study the convergence of the corresponding weighted averages. The limits of such weighted averages are also identified.

Original languageEnglish (US)
Pages (from-to)103-128
Number of pages26
JournalStudia Mathematica
Volume173
Issue number2
DOIs
StatePublished - Jun 16 2006

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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