On the equivalence of the properties of quasi-translation invariance and absolute continuity of measures on a locally compact abelian group

DOI10.1017/S0305004100066639zbMath0623.43001OpenAlexW1965033867MaRDI QIDQ3761059

Denis R. Bell

Publication date: 1986

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100066639

zbMATH Keywords

Haar measurelocally compact abelian groupRadon-Nikodým derivativeabsolutely continuous measurenull setsregular Borel measure

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (1)

Continuity of translation operators

Cites Work

• On the relationship between differentiability and absolute continuity of measures on \({\mathbb{R}}^ n\)

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