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 | 
|---|---|
| Authors/Creators: | 
 | 
| 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: | 
 | 
| 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 | 
![Applebaum3.pdf [thumbnail of Applebaum3.pdf]](https://eprints.whiterose.ac.uk/style/images/fileicons/text.png)
 CORE (COnnecting REpositories)
 CORE (COnnecting REpositories) CORE (COnnecting REpositories)
 CORE (COnnecting REpositories)