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A boundary Nevanlinna-Pick problem for a class of analytic matrix-valued functions in the unit ball - MaRDI portal

A boundary Nevanlinna-Pick problem for a class of analytic matrix-valued functions in the unit ball (Q1603001)

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scientific article; zbMATH DE number 1758616
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A boundary Nevanlinna-Pick problem for a class of analytic matrix-valued functions in the unit ball
scientific article; zbMATH DE number 1758616

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    A boundary Nevanlinna-Pick problem for a class of analytic matrix-valued functions in the unit ball (English)
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    24 June 2002
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    This paper solves a tangential boundary interpolation problem with a finite number of interpolating points for a multivariable analogue of the Schur class. The description of all solutions is parameterized in terms of a linear fractional transformation whose entries are given explicitly in terms of the interpolation data.
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    Nevanlinna-Pick
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    boundary interpolation
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    Schur functions
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    linear fractional parameterization
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