A FAMILY OF GENERALIZED RIESZ PRODUCTS

Authors
DOOLEY AH EIGEN SJ
Citation
Ah. Dooley et Sj. Eigen, A FAMILY OF GENERALIZED RIESZ PRODUCTS, Canadian journal of mathematics, 48(2), 1996, pp. 302-315
Citations number
20
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Canadian journal of mathematics → ACNP
ISSN journal
0008414X
Volume
48
Issue
2
Year of publication
1996
Pages
302 - 315
Database
ISI
SICI code
0008-414X(1996)48:2<302:AFOGRP>2.0.ZU;2-5
Abstract
Generalized Riesz products similar to the type which arise as the spec tral measure for a rank-one transformation are studied. A condition fo r the mutual singularity of two such measures is given. As an applicat ion, a probability space of transformations is presented in which almo st all transformations are singular with respect to Lebesgue measure.