On local integrability and transience of convolution semigroups of measures

DOI10.1007/BF00049130zbMath0712.60007OpenAlexW2090685143MaRDI QIDQ749001

Herbert Heyer, Gerhard Turnwald

Publication date: 1990

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00049130

zbMATH Keywords

convolution semigrouplocally compact abelian grouppotential measurePoisson convolution semigroupstransience criterion

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Measures on groups and semigroups, etc. (43A05) Markov processes (60J99) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (2)

Measures of finite energy on a commutative hypergroup ⋮ ASPECTS OF RECURRENCE AND TRANSIENCE FOR LÉVY PROCESSES IN TRANSFORMATION GROUPS AND NONCOMPACT RIEMANNIAN SYMMETRIC PAIRS

Cites Work

• Infinitely divisible processes and their potential theory. II
• Transient Markov convolution semi-groups and the associated negative definite functions
• Random walks. I
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