Supports of holomorphic convolution semigroups and densities of symmetric convolution semigroups on a locally compact group

DOI10.1007/BF01223720zbMath0443.60009MaRDI QIDQ1144312

Eberhard Siebert

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

density of a symmetric probability measureGauss semigroupholomorphic convolution semigroupsupport semigroup

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (7)

Densities and Differentiability Properties of Gauss Semigroups on a Lie Group ⋮ Continuous convolution semigroups with unbounded Levy measures on locally compact groups ⋮ Absolute continuity, singularity, and supports of Gauss semigroups on a Lie group ⋮ On commutative approximate identities on non-graded homogeneous groups ⋮ Selfdecomposable measures on simply connected nilpotent groups ⋮ Le support des lois indéfiniment divisibles dans un groupe abélien localement compact. (The support of infinitely divisible laws in a locally compact Abelian group) ⋮ Zero-one laws for infinitely divisible probability measures on groups

Cites Work

• Fourier analysis and limit theorems for convolution semigroups on a locally compact group
• Absolute continuity, singularity, and supports of Gauss semigroups on a Lie group
• Einige Bemerkungen zu den Gauß-Verteilungen auf lokalkompakten Abelschen Gruppen
• Representations of differential operators on a Lie group
• On the supports and absolute continuity of infinitely divisible probability measures
• Potential theory on the infinite dimensional torus
• Stetige Faltungshalbgruppen von Wahrscheinlichkeitsmaßen und erzeugende Distributionen
• On the Levy-Chintschin formula on locally compact maximally almost periodic groups.
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Comparison of Translation Experiments
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