On positivity of analytic matrix functions in polydisks

We study analytic functions of several variables in the Korányi class such that, when applied to a contractive tuple of doubly commuting matrices, a positive definite matrix results. A criterion is given for a finite set to have the property that every measure supported on the set yields, via an int...

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Bibliographic Details
Published in:	Linear algebra and its applications Vol. 328; no. 1; pp. 69 - 94
Main Authors:	Bolotnikov, V., Rodman, L.
Format:	Journal Article
Language:	English
Published:	New York, NY Elsevier Inc 01.05.2001 Elsevier Science
Subjects:	Algebra Analytic functions of several variables Exact sciences and technology Korányi class Linear and multilinear algebra, matrix theory Mathematics Sciences and techniques of general use Strict positivity Korányi class 15A48 Analytic functions of several variables Strict positivity Multivalued function Matrix function Analytical function Positive definite matrix
ISSN:	0024-3795, 1873-1856
Online Access:	Get full text
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