Fonctions harmoniques positives sur certains groupes de Lie résolubles connexes

DOI10.24033/bsmf.2295zbMath0871.22004OpenAlexW244921464MaRDI QIDQ3123396

Albert Raugi

Publication date: 6 March 1997

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1996__124_4_649_0

zbMATH Keywords

harmonic functionLie groupRadon measurepositive Borel functions

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Analysis on other specific Lie groups (43A80) Boundary theory for Markov processes (60J50) Eigenvalue problems for integral equations (45C05) Functional equations and inequalities (39Bxx)

Related Items (3)

The convolution equation of Choquet and Deny on [IN-groups.] ⋮ Bounded harmonic functions on connected solvable Lie groups and existence of an invariant measure ⋮ Martin boundary of random walks on certain \(d\)-dimensional hypergroups

Cites Work

• Function theory, random paths and covering spaces
• Le théorème de représentation intégrale dans les ensembles convexes compacts
• Martin boundaries of random walks on Fuchsian groups
• Un théorème de Choquet-Deny pour les groupes moyennables. (A theorem of Choquet-Deny for amenable groups)
• Negatively curved manifolds, elliptic operators, and the Martin boundary
• Existence of positive harmonic functions on groups and on covering manifolds
• Poisson spaces of locally compact groups
• Recurrence of Co-Cycles and Random Walks
• [https://portal.mardi4nfdi.de/wiki/Publication:4139440 Marche al�atoire sur le groupe libre et fronti�re de Martin]
• Comportement asymptotique du noyau potentiel sur les groupes de Lie
• Translation-invariant cones of functions on semi-simple lie groups
• Unitary representations of solvable Lie groups
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