A reproducing kernel space model for Nκ-functions

被引：14
|
作者：
Derkach, V
Hassi, S
机构：
[1] Donetsk Natl Univ, Dept Math, UA-83055 Donetsk, Ukraine
[2] Univ Vaasa, Dept Math & Stat, Vaasa 65101, Finland
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 12期
关键词：
generalized Nevanlinna function; symmetric operator; selfadjoint extension; Weyl function; boundary triplet; reproducing kernel Pontryagin space;
D O I：
10.1090/S0002-9939-03-06946-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new model for generalized Nevanlinna functions Q is an element of N-k will be presented. It involves Bezoutians and companion operators associated with certain polynomials determined by the generalized zeros and poles of Q. The model is obtained by coupling two operator models and expressed by means of abstract boundary mappings and the corresponding Weyl functions.
引用
收藏
页码：3795 / 3806
页数：12
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