An explicit Lévy-Hinčin formula for convolution semigroups on locally compact groups

DOI10.1007/BF01054020zbMath0678.60010MaRDI QIDQ1124198

Eike Born

Publication date: 1989

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

positive semi-definiteconvolution semigroup of probability measuresdecomposition of the generating functionalLévy-Hinčin representation

Mathematics Subject Classification ID

Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (11)

Perturbation results concerning Gaussian estimates and hypoellipticity for left-invariant Laplacians on compact groups ⋮ Infinitely divisible central probability measures on compact Lie groups-regularity, semigroups and transition kernels ⋮ Invariant local Dirichlet forms on locally compact groups ⋮ Spaces of smooth functions and distributions on infinite-dimensional compact groups ⋮ Gaussian bounds for derivatives of central Gaussian semigroups on compact groups ⋮ Invariant diffusion processes under Lie group actions ⋮ Central Gaussian semigroups of measures with continuous density ⋮ Some \(L^{2}\) properties of semigroups of measures on Lie groups ⋮ Hemigroups of probability measures on a locally compact group ⋮ CENTRAL GAUSSIAN CONVOLUTION SEMIGROUPS ON COMPACT GROUPS: A SURVEY ⋮ ASPECTS OF RECURRENCE AND TRANSIENCE FOR LÉVY PROCESSES IN TRANSFORMATION GROUPS AND NONCOMPACT RIEMANNIAN SYMMETRIC PAIRS

Cites Work

• Lie algebras of locally compact groups
• Projective Lie algebra bases of a locally compact group and uniform differentiability
• Stetige Faltungshalbgruppen von Wahrscheinlichkeitsmaßen und erzeugende Distributionen
• Semi-Groups of Measures on Lie Groups
• Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques
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