Free Probability for Pairs of Faces III: 2-Variables Bi-free Partial S-\n and T-Transforms

2015/04/14 by Dan-Virgil Voiculescu, Voiculescu, Dan-Virgil
Computer Science · #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Primary: 46L54 #Probability (math.PR) #Rough Sets and Fuzzy Logic #Secondary: 44Axx

paper · pdf · doi:10.48550/arxiv.1504.03765

openalex publication_date 2015/04/14 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

We introduce two 2-variables transforms: the partial bi-free S-transform and\nthe partial bi-free T-transform. These transforms are the analogues for the\nbi-multiplicative and respectively for the additive-multiplicative bi-free\nconvolution of the 2-variables partial bi-free R-transform in our previous\npaper in this series.\n

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