A short proof for the twisted multiplicativity property of the operator-valued \(S\)-transform

DOI10.1007/s11785-022-01259-yzbMath1502.46054arXiv2207.03896OpenAlexW4285033657WikidataQ113899856 ScholiaQ113899856MaRDI QIDQ2154508

Roland Speicher

Publication date: 19 July 2022

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.03896

zbMATH Keywords

cumulants\(S\)-transformmultilinear function seriesoperator-valued free probability

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54)

Cites Work

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• Free probability and random matrices
• Free probability and operator algebras. Lecture notes of the masterclass, Münster, Germany, September 2--6, 2013
• Multilinear function series and transforms in free probability theory
• Addition of certain non-commuting random variables
• On the S-transform over a Banach algebra
• Multiplication of free random variables and the \(S\)-transform: the case of vanishing mean
• Free Random Variables
• Lectures on the Combinatorics of Free Probability

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