An ergodic measure on a locally convex topological vector space
type: Item
instance of: scholarly article
title: An ergodic measure on a locally convex topological vector space
zbMATH Open document ID: 0472.28011
DOI: 10.1016/0022-1236(81)90026-4
author: Hiroshi Sato
published in: Journal of Functional Analysis
publication date: 1981-01-01T00:00:00Z
Mathematics Subject Classification ID: 28C20
Mathematics Subject Classification ID: 60F20
Mathematics Subject Classification ID: 46G12
Mathematics Subject Classification ID: 60B05
Mathematics Subject Classification ID: 60F17
zbMATH DE Number: 3739856
zbMATH Keywords: Gaussian Radon measure
zbMATH Keywords: sequence of real independent random variables
zbMATH Keywords: limit distribution
zbMATH Keywords: ergodicity
zbMATH Keywords: 0-1 law
zbMATH Keywords: quasi-invariance
zbMATH Keywords: linear support
zbMATH Keywords: Souslin support
zbMATH Keywords: Riesz property
zbMATH Keywords: Bochner's theorem
MaRDI profile type: Publication
full work available at URL: 0022-1236(81)90026-4
OpenAlex ID: W1967856680
cites work: Q5611281
cites work: Mesures cylindriques, espaces de Wiener et fonctions aléatoires gaussiennes
cites work: Random linear functionals and subspaces of probability one
cites work: Q4169448
cites work: Integrability of seminorms, the 0-1 law and the affine kernel for product measures
cites work: Zero-one laws for Gaussian processes
cites work: Linear sample spaces and stable processes
cites work: On the nuclearity of a dual space with the convergence in probability topology
cites work: Bochner's theorem on measurable linear functionals of a Gaussian measure
cites work: Unendlichdimensionale Gauss'sche Verteilungen
cites work: Q4136254
cites work: Q3902222
cites work: Gaussian measurable dual and Bochner's theorem
cites work: Q4052400
cites work: PRE-SUPPORTS AND KERNELS OF PROBABILITY MEASURES IN FRECHET SPACES
cites work: Q5545823
cites work: Measurable linear manifolds in products of linear spaces with measure
cites work: The τ-régularity of Gaussian measures
cites work: Q4195681
cites work: Q4197126
cites work: Measures on infinite dimensional vector spaces
cites work: Random linear functionals and random integrals
description: scientific article; zbMATH DE number 3739856