INFINITE DIVISIBILITY FOR THE CONDITIONALLY FREE CONVOLUTION

DOI10.1142/S0219025707002919zbMath1147.46041MaRDI QIDQ5386883

Anna Dorota Krystek

Publication date: 14 May 2008

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)

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Cites Work

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• Addition of certain non-commuting random variables
• Addition of freely independent random variables
• Lévy-Hinčin type theorems for multiplicative and additive free convolution
• Multiplicative functions on the lattice of non-crossing partitions and free convolution
• Convolution and limit theorems for conditionally free random variables
• Necessary and sufficient condition that the limit of Stieltjes transforms is a Stieltjes transform
• Operator-valued version of conditionally free product