On the reproducing kernel of a Pontryagin space of vector valued polynomials

被引：3
|
作者：
Curgus, B. [1 ]
Dijksma, A. [2 ]
机构：
[1] Western Washington Univ, Dept Math, Bellingham, WA 98225 USA
[2] Univ Groningen, Johann Bernoulli Inst Math & Comp Sci, NL-9700 AK Groningen, Netherlands
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 436卷 / 05期
关键词：
Polynomials; Generalized Nevanlinna pair; Pontryagin space; Reproducing kernel; Smith normal form; Forney indices; Symmetric operator; Defect number; Self-adjoint extension; Q-function; OPERATORS; INTERPOLATION;
D O I：
10.1016/j.laa.2011.08.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give necessary and sufficient conditions under which the reproducing kernel of a Pontryagin space of d x 1 vector polynomials is determined by a generalized Nevanlinna pair of d x d matrix polynomials. Published by Elsevier Inc.
引用
收藏
页码：1312 / 1343
页数：32
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