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Loewner interpolation in matrix Hardy classes - MaRDI portal

Loewner interpolation in matrix Hardy classes (Q1891936)

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scientific article; zbMATH DE number 761120
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Loewner interpolation in matrix Hardy classes
scientific article; zbMATH DE number 761120

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    Loewner interpolation in matrix Hardy classes (English)
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    27 August 1995
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    Summary: We study a Loewner type interpolation problem in the framework of matrix- valued \({\mathbf H}_ 2\) functions. We establish a necessary and sufficient condition for a matrix-valued function given on an arc or circle to be the trace of such an \({\mathbf H}_ 2\) function subject to some constraint.
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    Loewner interpolation
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    reproducing kernel spaces
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    Hardy spaces
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    Loewner type interpolation problem
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    matrix-valued \({\mathbf H}_ 2\) functions
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