On Operator-valued Semicircular Random Variables

Details On Operator-valued Semicircular Random Variables On Operator-valued Semicircular Random Variables

2011-09-22

arxiv.org/abs/1109.4973v1

Mathematics

Functional Analysis

14 pages

Scientific paper

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.

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