Principal functions for bi-free central limit distributions
Operator Algebras
2015-10-13 v1
Abstract
We find the principal function of the completely non-normal operator l(v_1)+l(v_1)^*+i(r(v_2)+r(v_2)^*) on a subspace of the full Fock space F(H) which arises from a bi-free central limit distribution. As an application, we find the essential spectrum of this operator.
Cite
@article{arxiv.1510.03328,
title = {Principal functions for bi-free central limit distributions},
author = {Kenneth J. Dykema and Wonhee Na},
journal= {arXiv preprint arXiv:1510.03328},
year = {2015}
}
Comments
13 pages, including 1 figure