On Operator-valued Semicircular Random Variables
arXiv:1109.4973 · doi:10.1007/s10959-012-0406-7
Abstract
In this paper, we discuss some special properties of operator- valued semicircular random variables including representation of the Cauchy transform of a compactly supported probability measure in terms of their operator-valued Cauchy transforms and existence of nonzero discrete part of their associated distributions.
arXiv comment14 pages