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A Family of Generalized Riesz Products

Published online by Cambridge University Press:  20 November 2018

A. H. Dooley  and
S. J. Eigen
A. H. Dooley
Affiliation:
School of Mathematics, University of New South Wales, Kensington 2033, Australia
S. J. Eigen
Affiliation:
Department of Mathematics, Northeastern University, Boston, MA 02115, [email protected]
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Abstract

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Generalized Riesz products similar to the type which arise as the spectral measure for a rank-one transformation are studied. A condition for the mutual singularity of two such measures is given. As an application, a probability space of transformations is presented in which almost all transformations are singular with respect to Lebesgue measure.

Keywords

28D0342A5547A35
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 2 , 01 April 1996 , pp. 302 - 315
Copyright
Copyright © Canadian Mathematical Society 1996

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