Multiplication of free random variables and the S-transform: the case of vanishing mean

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dc.creatorRao, N. Raj
dc.creatorSpeicher, Roland
dc.date2007-06-04
dc.date.accessioned2026-07-07T08:16:07Z
dc.date.available2026-07-07T08:16:07Z
dc.descriptionThis note extends Voiculescu's S-transform based analytical machinery for free multiplicative convolution to the case where the mean of the probability measures vanishes. We show that with the right interpretation of the S-transform in the case of vanishing mean, the usual formula makes perfectly good sense.
dc.descriptionSubmitted to the Electronic Communications on Probability
dc.identifierhttps://arxiv.org/abs/0706.0323
dc.identifierhttp://arxiv.org/abs/0706.0323
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133672
dc.subjectOperator Algebras
dc.subjectInformation Theory
dc.subjectProbability
dc.subject46L54 ; 15A52
dc.titleMultiplication of free random variables and the S-transform: the case of vanishing mean
dc.typetext

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