Stable and semistable hemigroups: Domains of attraction and self-decomposability

DOI10.1023/A:1025664314657zbMath1029.60010MaRDI QIDQ1411346

Peter Becker-Kern

Publication date: 27 October 2003

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

zbMATH Keywords

generalized domain of attractionoperator-self-decomposabilitysemi-stable hemigroupstable hemigroup

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Functional limit theorems; invariance principles (60F17)

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Domains of operator semi-attraction of probability measures on Banach spaces ⋮ Almost sure limit theorems of mantissa type for semistable domains of attraction ⋮ Random Sums of Independent Random Vectors Attracted by (Semi)-Stable Hemigroups ⋮ A General Multiparameter Version of Gnedenko's Transfer Theorem ⋮ Mehler semigroups, Ornstein-Uhlenbeck processes and background driving Lévy processes on locally compact groups and on hypergroups ⋮ Random integral representation of operator-semi-self-similar processes with independent incre\-ments. ⋮ Normalisers and centralisers of compact matrix groups. An elementary approach

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