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Probability measures on compact groups which have square-integrable densities

Authors :
David Applebaum
Source :
Bulletin of the London Mathematical Society. 40:1038-1044
Publication Year :
2008
Publisher :
Wiley, 2008.

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.

Subjects

Subjects :
Inner regular measure
Discrete mathematics
Regular conditional probability
Compact group
General Mathematics
Total variation distance of probability measures
Probability mass function
Probability distribution
Random variable
Probability measure
Mathematics

Details

ISSN :
00246093
Volume :
40
Database :
OpenAIRE
Journal :
Bulletin of the London Mathematical Society
Accession number :
edsair.doi.dedup.....cb2bc21f59e94ad8368b34e57d247a7b
Full Text :
https://doi.org/10.1112/blms/bdn088
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