Convolution and Limit Theorems for Conditionally Free Random Variables

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dc.creatorBozejko, Marek
dc.creatorLeinert, Michael
dc.creatorSpeicher, Roland
dc.date1994-10-17
dc.date.accessioned2026-07-07T09:13:30Z
dc.date.available2026-07-07T09:13:30Z
dc.descriptionWe introduce the notion of a conditionally free product and conditionally free convolution. We describe this convolution both from a combinatorial point of view, by showing its connection with the lattice of non-crossing partitions, and from an analytic point of view, by presenting the basic formula for its $R$-transform. We calculate explicitly the distributions of the conditionally free Gaussian and conditionally free Poisson distribution.
dc.description26 pages (pictures from R. Speicher), AMS-TeX 3.0, HD-AM-BLS-01
dc.identifierhttps://arxiv.org/abs/funct-an/9410004
dc.identifierhttp://arxiv.org/abs/funct-an/9410004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152346
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.titleConvolution and Limit Theorems for Conditionally Free Random Variables
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