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A Boolean action of C(M,U(1)) without a spatial model and a re-examination of the Cameron–Martin Theorem

Published:2012-11 Issue:10 Volume:263 Page:3224-3234
ISSN:0022-1236
Container-title:Journal of Functional Analysis
language:en
Short-container-title:Journal of Functional Analysis

Author:

Moore Justin Tatch,Solecki Sławomir

Publisher

Elsevier BV

Subject

Analysis

Reference9 articles.

1. Probability and Measure;Billingsley,1995

2. Gaussian Measures;Bogachev,1998

3. Ergodic Theory with a View towards Number Theory;Einsiedler,2011

4. The automorphism group of the Gaussian measure cannot act pointwise;Glasner;Israel J. Math.,2005

5. Spatial and non-spatial actions of Polish groups;Glasner;Ergodic Theory Dynam. Systems,2005

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The spectral form of Koopman representations of the group of measurable functions with values in the circle;Colloquium Mathematicum;2023

2. An uncountable Furstenberg–Zimmer structure theory;Ergodic Theory and Dynamical Systems;2022-06-21

3. Unitary representations of the groups of measurable and continuous functions with values in the circle;Journal of Functional Analysis;2014-11

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