A Poisson formula for solvable Lie groups

DOI10.1007/BF02790209zbMath0865.43008WikidataQ115391594 ScholiaQ115391594MaRDI QIDQ1922218

Wojciech Jaworski

Publication date: 6 July 1997

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

zbMATH Keywords

semisimple Lie groupshomogeneous spacelocally compact groupharmonic functionsprobability measuresolvable Lie groupPoisson representationtransitive actionPoisson formula

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

Shannon's theorem for locally compact groups ⋮ Random walks on almost connected locally compact groups: Boundary and convergence ⋮ Boundaries of dense subgroups of totally disconnected groups ⋮ Bounded harmonic functions on connected solvable Lie groups and existence of an invariant measure

Cites Work

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• A note on translation continuity of probability measures
• Strongly approximately transitive group actions, the Choquet-Deny theorem, and polynomial growth
• On the asymptotic and invariant \(\sigma\)-algebras of random walks on locally compact groups
• Contractive automorphisms of locally compact groups and the concentration function problem
• Strong approximate transitivity, polynomial growth, and spread out random walks on locally compact groups
• Point realizations of transformation groups
• A Poisson formula for semi-simple Lie groups
• Poisson spaces of locally compact groups
• Borel Structure in Groups and Their Duals
• Approximately transitive flows and ITPFI factors
• Boundaries and Modular Ideals on Locally Compact Groups
• Exponential Boundedness and Amenability of Open Subsemigroups of Locally Compact Groups
• Groups of Automorphisms of Borel Spaces
• Unitary representations of solvable Lie groups

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