On positivity of analytic matrix functions in polydisks (Q5935562)
From MaRDI portal
scientific article; zbMATH DE number 1610656
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On positivity of analytic matrix functions in polydisks |
scientific article; zbMATH DE number 1610656 |
Statements
On positivity of analytic matrix functions in polydisks (English)
0 references
4 April 2002
0 references
The authors 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.
0 references
analytic matrix functions
0 references
Korányi class
0 references
strict positivity
0 references
analytic functions of several variables
0 references
doubly commuting matrices
0 references
