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...

Full description

Saved in:
Bibliographic Details
Published inLinear algebra and its applications Vol. 328; no. 1; pp. 69 - 94
Main Authors Bolotnikov, V., Rodman, L.
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 01.05.2001
Elsevier Science
Subjects
Online AccessGet full text

Cover

Loading…
More Information
Summary: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 integral formula, a function as above.
ISSN:0024-3795
1873-1856
DOI:10.1016/S0024-3795(00)00331-1