On Nudel'man's Problem and Indefinite Interpolation in the Generalized Schur and Nevanlinna Classes

D. Alpay; A. Dijksma; J. Rovnyak

doi:10.1007/s11785-019-00966-3

On Nudel'man's Problem and Indefinite Interpolation in the Generalized Schur and Nevanlinna Classes

D. Alpay
, A. Dijksma
, J. Rovnyak^*

^*Corresponding author for this work

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

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Abstract

This work is a revised and corrected version of the authors' joint paper with T. Constantinescu (Trans Am Math Soc 355:813-836, 2003). Some of the theorems from the original paper that are withdrawn are recast as new open problems for indefinite interpolation. Partial results are obtained by other methods, including Kronecker's theorem for Hankel operators.

Original language	English
Article number	25
Number of pages	30
Journal	Complex Analysis and Operator Theory
Volume	14
Issue number	1
DOIs	https://doi.org/10.1007/s11785-019-00966-3
Publication status	Published - 5-Feb-2020

Keywords

Interpolation
Negative squares
Nudel'man
Nevanlinna
Pick
Carathedory
Fejer
Generalized Schur Class
Generalized Nevanlinna class
Commutant lifting

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On Nudel’man’s Problem and Indefinite Interpolation in the Generalized Schur and Nevanlinna ClassesFinal publisher's version, 431 KBLicence: Taverne

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abstract = "This work is a revised and corrected version of the authors' joint paper with T. Constantinescu (Trans Am Math Soc 355:813-836, 2003). Some of the theorems from the original paper that are withdrawn are recast as new open problems for indefinite interpolation. Partial results are obtained by other methods, including Kronecker's theorem for Hankel operators.",

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AU - Dijksma, A.

AU - Rovnyak, J.

PY - 2020/2/5

Y1 - 2020/2/5

N2 - This work is a revised and corrected version of the authors' joint paper with T. Constantinescu (Trans Am Math Soc 355:813-836, 2003). Some of the theorems from the original paper that are withdrawn are recast as new open problems for indefinite interpolation. Partial results are obtained by other methods, including Kronecker's theorem for Hankel operators.

AB - This work is a revised and corrected version of the authors' joint paper with T. Constantinescu (Trans Am Math Soc 355:813-836, 2003). Some of the theorems from the original paper that are withdrawn are recast as new open problems for indefinite interpolation. Partial results are obtained by other methods, including Kronecker's theorem for Hankel operators.

KW - Interpolation

KW - Negative squares

KW - Nudel'man

KW - Nevanlinna

KW - Pick

KW - Carathedory

KW - Fejer

KW - Generalized Schur Class

KW - Generalized Nevanlinna class

KW - Commutant lifting

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JF - Complex Analysis and Operator Theory

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M1 - 25

ER -

On Nudel'man's Problem and Indefinite Interpolation in the Generalized Schur and Nevanlinna Classes

Abstract

Keywords

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