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Continuous singular measures equivalent to their convolution squares

Published online by Cambridge University Press:  24 October 2008

Gavin Brown  and
Edwin Hewitt
Gavin Brown
Affiliation:
University of Liverpool and University of Washington, Seattle
Edwin Hewitt
Affiliation:
University of Liverpool and University of Washington, Seattle
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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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 2 , September 1976 , pp. 249 - 268
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

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