Weakly and strongly outer functions on the bidisc (Q1191905)
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scientific article; zbMATH DE number 63015
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weakly and strongly outer functions on the bidisc |
scientific article; zbMATH DE number 63015 |
Statements
Weakly and strongly outer functions on the bidisc (English)
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27 September 1992
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The role of the outer functions in the Nevanlinna and Hardy classes is well-known. In this paper the strongly outer and weakly outer functions in these classes are defined. It is shown that many results of the classical one-variable theory have multivariate analogues. Among these are Beurling's theorem, the Riesz factorisation theorem and Szegö's infimum.
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weakly outer functions
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Beurling's theorem
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Riesz factorisation
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Szegö infimum
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