Short Proofs for Some Classical Interpolation Theorems and Multiple Interpolation in the Disk Algebra

被引：0

作者：

Raymond Mortini

机构：

[1] Université de Lorraine,Département de Mathématiques et Institut Élie Cartan de Lorraine CNRS

[2] Université du Luxembourg,Département de Mathématiques

来源：

Computational Methods and Function Theory | 2023年 / 23卷

关键词：

The Mittag–Leffler; Germay; Carleson and Dzhrbashyan interpolation theorems; Holomorphic functions; Bounded analytic functions; Interpolation; Higher derivatives; dbar-Equation; Primary 30H05; Secondary 30E05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We present short proofs of the classical interpolation theorems for derivatives by Mittag–Leffler and Germay, respectively Katsnelson, Airapetjan, Dzhrbashyan and Vinogradov and present such a theorem for the disk algebra.

引用

页码：513 / 521

页数：8

共 37 条

[31] Multiple Interpolation and Principal Parts of a Laurent Series for Meromorphic Functions in the Unit Disk with Power Growth of the Nevanlinna Characteristic
Bednazh, V. A.
Rodikova, E. G.
Shamoyan, F. A.
COMPLEX ANALYSIS AND OPERATOR THEORY, 2017, 11 (01) : 197 - 215
[32] Multiple Interpolation and Principal Parts of a Laurent Series for Meromorphic Functions in the Unit Disk with Power Growth of the Nevanlinna Characteristic
V. A. Bednazh
E. G. Rodikova
F. A. Shamoyan
Complex Analysis and Operator Theory, 2017, 11 : 197 - 215
[33] On the multiple Nevanlinna-Pick interpolation problems in some matrix-valued function classes
Wu, HZ
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 399 : 71 - 90
[34] BASICITY OF SOME BIORTHOGONAL SYSTEMS AND SOLUTION TO MULTIPLE INTERPOLATION PROBLEM IN CLASS H+P
DZHRBASHIAN, MM
DOKLADY AKADEMII NAUK SSSR, 1977, 234 (03): : 517 - 520
[35] Some Lemmas to Hopefully Enable Search Methods to Find Short and Human Readable Proofs for Incidence Theorems of Projective Geometry
Michelucci, Dominique
AUTOMATED DEDUCTION IN GEOMETRY, 2011, 6877 : 118 - 131
[36] CLOSURE AND BASICITY OF SOME BIORTHOGONAL SYSTEMS AND THE SOLUTION TO A MULTIPLE INTERPOLATION PROBLEM IN HP [ALPHA-OMEGA]
MARTIROSIAN, VM
DOKLADY AKADEMII NAUK SSSR, 1979, 245 (01): : 24 - 27
[37] BASICITY OF SOME BIORTHOGONAL SYSTEMS AND THE SOLUTION OF A MULTIPLE INTERPOLATION PROBLEM IN THE HP CLASSES IN THE 1/2 PLANE
DZRBASJAN, MM
MATHEMATICS OF THE USSR-IZVESTIYA, 1979, 13 (03): : 589 - 646

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