The convolution equation of Choquet and Deny on [IN]-groups.

DOI10.1007/BF01198136zbMath1033.43001MaRDI QIDQ5943604

Chi-Wai Leung, Cho-Ho Chu

Publication date: 27 September 2001

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

locally compact group[IN-groups]\(\sigma\)-harmonic functionsBorel function

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Convex sets in topological linear spaces; Choquet theory (46A55) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (5)

Harmonic functions on [IN and central hypergroups] ⋮ Harmonic functions on topological groups and symmetric spaces ⋮ Harmonic functions on hypergroups ⋮ Spectrum of a homogeneous graph ⋮ On bounded solutions to convolution equations

Cites Work

• Logarithmic Harnack inequalities
• Classes of nonabelian, noncompact, locally compact groups
• Harmonic functions on homogeneous spaces
• The convolution equation of Choquet and Deny on nilpotent groups
• Topological groups with invariant compact neighborhoods of the identity
• Fonctions harmoniques positives sur certains groupes de Lie résolubles connexes
• Translation-invariant cones of functions on semi-simple lie groups
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