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Perturbed interpolation problems (Q2774630)

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scientific article; zbMATH DE number 1711094
Language Label Description Also known as
English
Perturbed interpolation problems
scientific article; zbMATH DE number 1711094

    Statements

    publication date
    26 February 2002
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    zbMATH Keywords
    matricial directional boundary value interpolation problem of Pick-Nevanlinna type
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    perturbation of interpolation problems
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    title
    Perturbed interpolation problems (English)
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    review text
    The author considers a matricial directional boundary value interpolation problem of Pick-Nevanlinna type and shows that the nonnegativity and the so called absence-of-residues property of the Pick kernel are necessary and sufficient conditions for the solvability of it. A sort of perturbations of interpolation problems is used to transfer the known results on interior interpolation problems to the boundary value interpolation problems.
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    Identifiers

    Mathematics Subject Classification ID
    30E05
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    30E25
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    47A56
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    zbMATH DE Number
    1711094
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