Absolutely Continuously and Singularly Generated Harmonic Functions for Random Walks on Groups

DOI10.1137/1135118zbMATH Open0765.60006OpenAlexW2020130013MaRDI QIDQ4712559

M. G. Shur

Publication date: 25 June 1992

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1135118

zbMATH Keywords

harmonic functionpolar setLebesgue decompositionsabsolutely continuously generated harmonic functionlocally compact group with countable basisspread-out random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (3)

On the Compactness of a Family of Functions That are Harmonic for a Random Walk on a Group ⋮ Title not available (Why is that?) ⋮ Spectral measure of the transition operator and harmonic functions connected with random walks on discrete groups

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