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
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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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. |
Dates: |
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Institution: | The University of Sheffield |
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: | 16 Nov 2015 11:48 |
Published Version: | http://dx.doi.org/10.1112/blms/bdn088 |
Status: | Published |
Publisher: | Oxford University Press |
Refereed: | Yes |
Identification Number: | 10.1112/blms/bdn088 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:9803 |