Lower order positivity and holomorphic operators (Q791001)
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scientific article; zbMATH DE number 3849608
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lower order positivity and holomorphic operators |
scientific article; zbMATH DE number 3849608 |
Statements
Lower order positivity and holomorphic operators (English)
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1984
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The author gives conditions for holomorphic extensions of operator-valued functions in domains D of \({\mathbb{C}}^ n\) in terms of te positive- definiteness of order 3 of certain Hermitian kernels on \(D\times D\). The results generalize previous results of Hindmarsh, FitzGerald and Horn, and of the author.
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Pick-Nevanlinna interpolation
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positive-definite kernels
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holomorphic extensions of operator-valued functions
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Hermitian kernels
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