On Operator-valued Semicircular Random Variables
Functional Analysis
2022-06-07 v1 Probability
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.
Cite
@article{arxiv.1109.4973,
title = {On Operator-valued Semicircular Random Variables},
author = {Mohsen Soltanifar},
journal= {arXiv preprint arXiv:1109.4973},
year = {2022}
}
Comments
14 pages