On Riesz product measures; mutual absolute continuity and singularity

DOI10.5802/aif.1135zbMath0633.43001OpenAlexW1973188506MaRDI QIDQ1096115

B. George

Publication date: 1988

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1988__38_2_63_0

zbMATH Keywords

singularityabsolute continuitylocally compact abelian groupsrandom Riesz product measuresRiesz product measures

Mathematics Subject Classification ID

Strong limit theorems (60F15) Measures on groups and semigroups, etc. (43A05)

Related Items (11)

Non singular transformations and spectral analysis of measures ⋮ Random $p$-adic Riesz products: Continuity, singularity, and dimension ⋮ Rank one transformations with singular spectral type ⋮ L^p-convergence of a certain class of product martingales ⋮ Some remarks on \(p\)-adic Riesz products ⋮ A new class of rank-one transformations with singular spectrum ⋮ The almost sure mutual singularity of the spectrum of Ornstein transformations ⋮ Ergodicité et pureté des produits de Riesz. (Ergodicity and purity of Riesz products) ⋮ Riesz products on the ring of dyadic integers ⋮ Some properties of Riesz products on the ring of \(p\)-adic integers ⋮ Multiscale Riesz products and their support properties

Cites Work

• Étude de quelques propriétés des produits de Riesz
• On Kakutani's dichotomy theorem for infinite products of not necessarily independent functions
• On equivalence of infinite product measures
• Constructions of singular measures with remarkable convolution properties
• Unendliche Produkte unkorrelierter Funktionen auf kompakten, Abelschen Gruppen.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On Riesz product measures; mutual absolute continuity and singularity