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Probability measures on compact groups which have square-integrable densities

Applebaum, D. (2008) Probability measures on compact groups which have square-integrable densities. Bulletin of the London Mathematical Society, 40 (6). pp. 1038-1044. ISSN 0024-6093

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Abstract

We apply Peter–Weyl theory to obtain necessary and sufficient conditions for a probability measure on a compact group to have a square-integrable density. Applications are given to measures on the d-dimensional torus.

Item Type: Article
Copyright, Publisher and Additional Information: © 2008 Oxford University Press. This is an author produced version of a paper subsequently published in Bulletin of the London Mathematical Society. Uploaded in accordance with the publisher's self-archiving policy.
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User: Miss Anthea Tucker
Date Deposited: 30 Sep 2009 11:34
Last Modified: 08 Feb 2013 16:59
Published Version: http://dx.doi.org/10.1112/blms/bdn088
Status: Published
Publisher: Oxford University Press
Refereed: Yes
Identification Number: 10.1112/blms/bdn088
URI: http://eprints.whiterose.ac.uk/id/eprint/9803

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