On a harmonic measure
type: Item
instance of: scholarly article
title: On a harmonic measure
zbMATH Open document ID: 0656.28010
author: O. D. Dyachkin
published in: Moscow University Mathematics Bulletin
publication date: 1987-01-01T00:00:00Z
review text: The author constructs a nonzero \(\sigma\)-finite measure on a separable Hilbert space that is a solution of an infinite-dimensional analogue of Laplace equation [differentiability of measures is understood in the sense of \textit{V. I. Averbukh, O. G. Smolyanov} and \textit{S. V. Fomin}, Tr. Mosk. Mat. 0-va 24, 133-174 (1971; Zbl 0234.28005)].
Mathematics Subject Classification ID: 28C20
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 4071265
zbMATH Keywords: \(\sigma\)-additive measure of unbounded variation on a Hilbert space
zbMATH Keywords: self-adjoint Hilbert-Schmidt operator
zbMATH Keywords: harmonic measure
zbMATH Keywords: Gaussian measure
zbMATH Keywords: infinite-dimensional analogue of Laplace equation
zbMATH Keywords: differentiability of measures
reviewed by: Kazimierz Musial
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4071265