Quasi-invariant measures on commutative Lie groups of infinite product type

DOI10.1007/BF02571334zbMath0695.60014OpenAlexW2013026918WikidataQ115391992 ScholiaQ115391992MaRDI QIDQ910084

Akihito Hora

Publication date: 1991

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174216

zbMATH Keywords

quasi-invariantmeasure-preservingconvergence of infinite products of independent random variablesexchangeable probabilitiesfinitely generated commutative Lie group

Mathematics Subject Classification ID

Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Exchangeability for stochastic processes (60G09)

Related Items (5)

Groups of quasi-invariance and the Pontryagin duality ⋮ On quasi-invariance of infinite product measures ⋮ Quasi-invariant measures on the infinite product of \(SU(2)\) ⋮ Elliott-Morse measures and Kakutani's dichotomy theorem ⋮ Differentiable measures and the Malliavin calculus

Cites Work

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• Differentiable shifts for measures on infinite dimensional spaces
• On the convergence of the product of independent random variables
• An aspect of differentiable measures on \({\mathbb{R}}^{\infty}\)
• An aspect of quasi-invariant measures on \(R^\infty\)
• On equivalence of infinite product measures
• Exchangeable processes need not be mixtures of independent, identically distributed random variables
• Distinguishing a Sequence of Random Variables from a Translate of Itself

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