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Some analytical semigroups occurring in probability theory
Authors:Karl H Hofmann  Zbigniew J Jurek
Institution:(1) Fachbereich Mathematik, Technische Hochschule Darmstadt, Schlossgartenstr. 7, D-64289 Darmstadt, Germany;(2) The Institute of Mathematics, University of Wroclstrokaw, P. Grunwadzki 2/4, 50-384 Wroclstrokaw, Poland
Abstract:One-parameter semigroups occurring in operator-limit distributions are investigated. The topological-algebraic background of the relevant monoids is discussed and Lie semigroup theory is applied to the Urbanik Decomposability Semigroup.
Keywords:Infinitely divisible probability measures  operator-limit distributions  Lie semigroup theory
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