Non-Commutative Functions and Non-Commutative Free Levy-Hincin Formula
arXiv:1007.1932
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.
Third version, with less typos and simpler notations