On Riesz product measures; mutual absolute continuity and singularity
type: Item
instance of: scholarly article
title: On Riesz product measures; mutual absolute continuity and singularity
zbMATH Open document ID: 0633.43001
author: B. George
publication date: 1988-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74803
review text: We give some criteria for mutual absolute continuity and for singularity of Riesz product measures on locally compact abelian groups. The first section gives the definition of such a measure which is more general than the usual definition. The second section provides three sufficient conditions for one Riesz product measure to be absolutely continuous with respect to another. One of our results contains a theorem of Brown-Moran- Ritter as a special case. The final section deals with random Riesz product measures. We shall establish a certain probabilistic dichotomy for such measures.
Mathematics Subject Classification ID: 43A05
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 4030188
zbMATH Keywords: absolute continuity
zbMATH Keywords: singularity
zbMATH Keywords: Riesz product measures
zbMATH Keywords: locally compact abelian groups
zbMATH Keywords: random Riesz product measures
MaRDI profile type: Publication
OpenAlex ID: W1973188506
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DOI: 10.5802/AIF.1135
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 4030188