Charakterisierung stetiger Faltungshalbgruppen durch das Levy-Maß

DOI10.1007/BF01371044zbMath0407.60005MaRDI QIDQ1258128

Arnold Janssen

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163341

zbMATH Keywords

ConvolutionLocally Compact GroupsInfinitely Divisible MeasuresLevy-MeasureSemigroups of Probability Measures

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Measures on groups and semigroups, etc. (43A05) Markov processes (60J99) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

The algebra of Calderón-Zygmund kernels on a homogeneous group is inverse-closed ⋮ The Rockland condition for nondifferential convolution operators ⋮ Asymptotic behaviour of densities of stable semigroups of measures ⋮ Zero-one laws for infinitely divisible probability measures on groups

Cites Work

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• On the structure of infinitely divisible distributions
• Absolute continuity of infinitely divisible distributions
• Symmetrische Gaußverteilungen sind diffus
• Equivalence of infinitely divisible distributions
• More on equivalence of infinitely divisible distributions
• On the supports and absolute continuity of infinitely divisible probability measures
• Stetige Faltungshalbgruppen von Wahrscheinlichkeitsmaßen und erzeugende Distributionen
• [https://portal.mardi4nfdi.de/wiki/Publication:4091222 L�vy processes: Absolute continuity of hitting times for points]
• The Structure of Infinitely Divisible Distributions on a Bicompact Abelian Group
• On a Necessary and Sufficient Condition That an Infinitely Divisible Distribution be Absolutely Continuous
• On the Infinitesimal Generators of Integral Convolutions

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