Schoenberg correspondence for multifaced independence

Malte Gerhold

公開日: 2021/4/7

Abstract

We extend the Schoenberg correspondence for universal independences by Sch\"urmann \& Vo{\ss} to the multivariate setting of Manzel \& Sch\"urmann, covering, e.g., Voiculescu's bifreeness as well as Bo{\.z}ejko \& Speicher's c-free independence. At the same time, we free the proof in the univariate situation from its dependence on Muraki's ``5 Independences Theorem''.

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