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

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

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 Some of the theorems from the original paper that are withdrawn are recast as new open problems for indefinite interpolation.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
Journal	Complex Analysis and Operator Theory
Volume	14
Issue number	1
DOIs	https://doi.org/10.1007/s11785-019-00966-3
State	Published - 1 Feb 2020
Externally published	Yes

Keywords

Carathédory
Commutant lifting
Fejér
Generalized Nevanlinna class
Generalized Schur Class
Interpolation
Negative squares
Nevanlinna
Nudel’man
Pick

ASJC Scopus subject areas

Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

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10.1007/s11785-019-00966-3

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title = "On Nudel{\textquoteright}man{\textquoteright}s Problem and Indefinite Interpolation in the Generalized Schur and Nevanlinna Classes",

abstract = "This work is a revised and corrected version of the authors{\textquoteright} 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 Some of the theorems from the original paper that are withdrawn are recast as new open problems for indefinite interpolation.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{\textquoteright}s theorem for Hankel operators.",

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AU - Dijksma, A.

AU - Rovnyak, J.

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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 Some of the theorems from the original paper that are withdrawn are recast as new open problems for indefinite interpolation.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 - Carathédory

KW - Commutant lifting

KW - Fejér

KW - Generalized Nevanlinna class

KW - Generalized Schur Class

KW - Interpolation

KW - Negative squares

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KW - Pick

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

Abstract

Keywords

ASJC Scopus subject areas

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