On Operator-Valued Semicircular Random Variables |
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| Authors: | Mohsen Soltanifar |
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| Affiliation: | 1. Department of Mathematics and Statistics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, S7N 5E6, Canada
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| 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. |
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