Minimal models for N∞K-functions

被引：6

作者：

Dijksma, Aad ^{[1
]}

Luger, Annemarie ^{[2
]}

Shondin, Yuri ^{[3
]}

机构：

[1] Univ Groningen, Dept Math, POB 800, NL-9700 AV Groningen, Netherlands

[2] Vienna Univ Technol, Inst Anal & Sci Comp, A-1040 Vienna, Austria

[3] State Pedag Univ, Dept Theoret Phys, Nizhnii Novgorod 603600, Russia

来源：

OPERATOR THEORY AND INDEFINITE INNER PRODUCT SPACES | 2006年 / 163卷

关键词：

generalized Nevanlinna function; generalized pole; realization; model; reproducing kernel spaces; Pontryagin spaces; self-adjoint operator; symmetric operator; linear relation; block operator matrix;

D O I：

10.1007/3-7643-7516-7_5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present explicit realizations in terms of self-adjoint operators and linear relations for a non-zero scalar generalized Nevanlinna function N(z) and the function (N) over cap (z) = -1/N(z) under the assumption that N(z) has exactly one generalized pole which is not of positive type namely at z = infinity. The key tool we use to obtain these models is reproducing kernel Pontryagin spaces.

引用

页码：97 / +

页数：4

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