Ergodic multiplier properties

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Abstract

In this article we will extend 'the weak mixing theorem' for certain locally compact Polish groups (Moore groups and minimally weakly mixing groups). In addition, we will show that the Gaussian action associated with the infinite-dimensional irreducible representation of the continuous Heisenberg group, H3(ℝ), is weakly mixing but not mildly mixing.

Original languageEnglish
Pages (from-to)794-815
Number of pages22
JournalErgodic Theory and Dynamical Systems
Volume36
Issue number3
DOIs
StatePublished - 1 May 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© Cambridge University Press, 2014.

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