On a Method of Introducing Free-Infinitely Divisible Probability Measures

Zbigniew J. Jurek 1
  • 1 INSTITUTE OF MATHEMATICS UNIVERSITY OF WROCŁAW Pl. Grunwaldzki 2/4 50-386 WROCŁAW, POLAND

Abstract

Random integral mappings give isomorphism between the subsemigroups of the classical (I D, *) and the free-infinite divisible (I D, ⊞) probability measures. This allows us to introduce new examples of such measures, more precisely their corresponding characteristic functionals.

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