\(\mu\)-harmonic functions on locally compact groups

DOI10.1007/BF02820469zbMath0716.43003MaRDI QIDQ753074

Douglas Paul Dokken

Publication date: 1989

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Poisson boundarylinear functionalsStone-Čech compactificationidempotent measureslocally compact topological groupsalmost minimal measureirreducible affine flowsuniversal pointed flow

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Ergodic theory on groups (22D40) Harmonic analysis on specific compact groups (43A75) Dynamics induced by flows and semiflows (37C10) Means on groups, semigroups, etc.; amenable groups (43A07)

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Nonprobabilistic computation of the Poisson boundary for an étalée measure on a semi-simple Lie group ⋮ The Liouville property and random walks on topological groups

Cites Work

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• Proximal flows
• Compact right topological semigroups and generalizations of almost periodicity
• Affine flows and distal points
• A Poisson formula for semi-simple Lie groups
• Topological dynamics