Non-Commutative Functions and Non-Commutative Free Levy-Hincin Formula

Published 12 Jul 2010 in math.OA and math.FA | (1007.1932v4)

Abstract: The paper is discussing infinite divisibility in the setting of operator-valued boolean, free and, more general, c-free independences. Particularly, using Hilbert bimodules and non-commutative functions techniques, we obtain analogues of the Levy-Hincin integral representation for infinitely divisible real measures.

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