Nonprobabilistic computation of the Poisson boundary for an étalée measure on a semi-simple Lie group

DOI10.1216/rmjm/1181072200zbMath0843.43009OpenAlexW2036091827WikidataQ115239924 ScholiaQ115239924MaRDI QIDQ1912629

Douglas Paul Dokken

Publication date: 13 May 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072200

zbMATH Keywords

boundary representationsemi-simple Lie groupHaar measureprobability theory\(\mu\)-harmonic functionsétalée measureMartingale theorem

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)

Related Items (2)

POISSON SPACES FOR PROPER SEMIGROUPS OF SEMI-SIMPLE LIE GROUPS ⋮ A Poisson boundary for topological semigroups

Cites Work

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• \(\mu\)-harmonic functions on locally compact groups
• The Poisson flow associated with a measure
• A Poisson formula for semi-simple Lie groups
• Poisson spaces of locally compact groups
• The enveloping semigroup of projective flows

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