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On the equivalence of the properties of quasi-translation invariance and absolute continuity of measures on a locally compact abelian group
Published online by Cambridge University Press: 24 October 2008
Abstract
We give a simple proof that a measure on a locally compact abelian group G is quasi-translation invariant with continuous translation densities if and only if it is equivalent to Haar measure on G and has a continuous positive density.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 101 , Issue 2 , March 1987 , pp. 279 - 281
- Copyright
- Copyright © Cambridge Philosophical Society 1987
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