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Ergodic multiplier properties

Published online by Cambridge University Press:  10 November 2014

ADI GLÜCKSAM
ADI GLÜCKSAM*
Affiliation:
School of Mathematical Sciences, Tel Aviv University, Israel email [email protected]
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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, $H_{3}(\mathbb{R})$, is weakly mixing but not mildly mixing.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 36 , Issue 3 , May 2016 , pp. 794 - 815
Copyright
© Cambridge University Press, 2014 

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