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Continuous singular measures equivalent to their convolution squares

Published online by Cambridge University Press:  24 October 2008

Gavin Brown
Affiliation:
University of Liverpool and University of Washington, Seattle
Edwin Hewitt
Affiliation:
University of Liverpool and University of Washington, Seattle

Extract

Throughout this paper, G will denote a locally compact, non-discrete, Abelian group (subjected to various conditions) and X wi11 denote the character group of G. All terminology and notation are as in (7). The measure algebra M(G), as is known, is a very complicated entity. We address ourselves here to some novel peculiarities of the subspace Ms(G) of continuous measures in M(G) that are singular with respect to Haar measure λ.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

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