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Probability measures on compact groups which have square‐integrable densities
Author(s) -
Applebaum David
Publication year - 2008
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdn088
Subject(s) - mathematics , square integrable function , square (algebra) , integrable system , pure mathematics , statistics , geometry
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.