Schoenberg correspondence for multifaced independence
Abstract
We extend the Schoenberg correspondence for universal independences by Sch\"urmann \& Vo to the multivariate setting of Manzel \& Sch\"urmann, covering, e.g., Voiculescu's bifreeness as well as Bo\.zejko \& 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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