Limit theorems for additive c-free convolution
Operator Algebras
2008-05-13 v2 Probability
Abstract
In this paper we find necessary and sufficient conditions for the weak convergence of c-free convolution of pairs of measures, where the measures are assumed to be infinitesimal and their support may be unbounded. These results are obtained by complex analytic methods.
Cite
@article{arxiv.0805.0607,
title = {Limit theorems for additive c-free convolution},
author = {Jiun-Chau Wang},
journal= {arXiv preprint arXiv:0805.0607},
year = {2008}
}
Comments
Second version; corrected typos