Interpolation problems for holomorphic functions

被引:1
作者
Hsu, Ming-Hsiu [1 ]
Wang, Lih-Chung [2 ]
He, Zhen
机构
[1] Natl Cent Univ, Dept Math, Chungli 32054, Taiwan
[2] Natl Dong Hwa Univ, Dept Appl Math, Hualien 974, Taiwan
关键词
Interpolation; Positive definite kernel; Nevanlinna-Pick problem; Corona problem; Caratheodory-Fejer problem; NEVANLINNA-PICK INTERPOLATION; ZERO-POLE INTERPOLATION; KERNEL-HILBERT-SPACES; MATRIX FUNCTIONS; THEOREM; REALIZATION; SYSTEMS;
D O I
10.1016/j.laa.2014.03.046
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note, we discuss the Nevanlinna-Pick problem, corona problem and Caratheodory-Fejer problem for bounded holomorphic functions. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:270 / 280
页数:11
相关论文
共 25 条
[1]  
Agler J, 1999, J REINE ANGEW MATH, V506, P191
[2]  
Agler J., ARXIV13051636V2
[3]  
AGLER J., 1990, TOPICS OPERATOR THEO, V48, P47
[4]  
Agler J., 2000, N.Y. J. Math., V6, P227
[5]   Distinguished varieties [J].
Agler, Jim ;
McCarthy, John E. .
ACTA MATHEMATICA, 2005, 194 (02) :133-153
[6]  
Agler J, 2013, ACTA SCI MATH, V79, P63
[7]  
Amar E., 1991, J. Geom. Anal., V1, P291
[8]  
[Anonymous], 2010, HARMONIC ANAL OPERAT
[9]  
Ball J.A., 2000, FIELDS I COMMUN, V25, P151
[10]   Structured noncommutative multidimensional linear systems [J].
Ball, JA ;
Groenewald, G ;
Malakorn, T .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2005, 44 (04) :1474-1528