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

被引：0

作者：

Alpay, D. ^{[1
]}

Dijksma, A. ^{[2
]}

Rovnyak, J. ^{[3
]}

机构：

[1] Chapman Univ, Schmid Coll Sci & Technol, Fac Math Phys & Computat, Foster G & Mary McGaw Professorship Math Sci, One Univ Dr, Orange, CA 92866 USA

[2] Univ Groningen, Johann Bernoulli Inst Math & Comp Sci, POB 407, NL-9700 AK Groningen, Netherlands

[3] Univ Virginia, Dept Math, POB 400137, Charlottesville, VA 22904 USA

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2020年 / 14卷 / 01期

关键词：

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

D O I：

10.1007/s11785-019-00966-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 Some of the theorems from the original paper that are withdrawn are recast as new open problems for indefinite interpolation.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

引用

页数：30

共 17 条

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Alpay, D.
Dijksma, A.
Rovnyak, J.
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 371 (05) : 3743 - 3745
[3] Notes on interpolation in the generalized Schur class. II. Nudel'man's problem
Alpay, D
Constantinescu, T
Dijksma, A
Rovnyak, J
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (02) : 813 - 836
[4] Alpay D, 1997, SCHUR FUNCTIONS OPER
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