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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Published Version: http://dx.doi.org/10.1112/blms/bdn088
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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