On the tangential interpolation problem for H2functions

Daniel Alpay; Vladimir Bolotnikov; Yossi Peretz

doi:10.1090/S0002-9947-1995-1277087-2

On the tangential interpolation problem for H₂functions

Daniel Alpay, Vladimir Bolotnikov, Yossi Peretz

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

The aim of this paper is to solve a matrix-valued version of the Nevanlinna-Pick interpolation problem for H₂functions. We reduce this problem to a Nevanlinna-Pick interpolation problem for Schur functions and obtain a linear fractional transformation which describes the set of all solutions.

Original language	English
Pages (from-to)	675-686
Number of pages	12
Journal	Transactions of the American Mathematical Society
Volume	347
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1995-1277087-2
State	Published - 1 Jan 1995

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-1995-1277087-2

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title = "On the tangential interpolation problem for H2functions",

abstract = "The aim of this paper is to solve a matrix-valued version of the Nevanlinna-Pick interpolation problem for H2functions. We reduce this problem to a Nevanlinna-Pick interpolation problem for Schur functions and obtain a linear fractional transformation which describes the set of all solutions.",

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AU - Bolotnikov, Vladimir

AU - Peretz, Yossi

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N2 - The aim of this paper is to solve a matrix-valued version of the Nevanlinna-Pick interpolation problem for H2functions. We reduce this problem to a Nevanlinna-Pick interpolation problem for Schur functions and obtain a linear fractional transformation which describes the set of all solutions.

AB - The aim of this paper is to solve a matrix-valued version of the Nevanlinna-Pick interpolation problem for H2functions. We reduce this problem to a Nevanlinna-Pick interpolation problem for Schur functions and obtain a linear fractional transformation which describes the set of all solutions.

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DO - 10.1090/S0002-9947-1995-1277087-2

M3 - Article

AN - SCOPUS:0000163453

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EP - 686

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 2

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On the tangential interpolation problem for H₂functions

Abstract

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