Semigroups related to additive and multiplicative, free and Boolean convolutions

DOI10.4064/sm215-2-5zbMath1282.46058arXiv1105.3344OpenAlexW2963597328MaRDI QIDQ4924721

Octavio Arizmendi, Takahiro Hasebe

Publication date: 10 June 2013

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3344

zbMATH Keywords

free convolutionBoolean convolutioncomposition semigroupfreely infinitely divisiblefree divisibility indicator

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Noncommutative probability and statistics (46L53)

Related Items (10)

A survey on the effects of free and Boolean convolutions on Cauchy-Stieltjes kernel families ⋮ On the supports of measures in free multiplicative convolution semigroups ⋮ BOOLEAN MULTIPLICATIVE CONVOLUTION AND CAUCHY-STIELTJES KERNEL FAMILIES ⋮ Classical and free infinite divisibility for Boolean stable laws ⋮ Limit theorems for free Lévy processes ⋮ Boolean convolutions and regular variation ⋮ Classical scale mixtures of Boolean stable laws ⋮ Radial Bargmann representation for the Fock space of type B ⋮ Classification and GNS-construction for general universal products ⋮ Free subordination and Belinschi-Nica semigroup

This page was built for publication: Semigroups related to additive and multiplicative, free and Boolean convolutions