Linear Fractional Transformations of Nevanlinna Functions Associated with a Nonnegative Operator

被引：2

作者：

Behrndt, Jussi ^{[1
]}

Hassi, Seppo ^{[2
]}

de Snoo, Henk ^{[3
]}

Wietsma, Rudi ^{[2
]}

Winkler, Henrik ^{[4
]}

机构：

[1] Graz Univ Technol, Inst Numer Math, A-8010 Graz, Austria

[2] Univ Vaasa, Dept Math & Stat, Vaasa 65101, Finland

[3] Univ Groningen, Johann Bernoulli Inst Math & Comp Sci, NL-9700 AK Groningen, Netherlands

[4] Tech Univ Ilmenau, Inst Math, D-98693 Ilmenau, Germany

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2013年 / 7卷 / 02期

基金：

芬兰科学院;

关键词：

BOUNDARY-VALUE-PROBLEMS; EXTENSION;

D O I：

10.1007/s11785-011-0197-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper a subclass of scalar Nevanlinna functions is studied, which coincides with the class of Weyl functions associated to a nonnegative symmetric operator of defect one in a Hilbert space. This class consists of all Nevanlinna functions that are holomorphic on (-a, 0) and all those Nevanlinna functions that have one negative pole a and are injective on . These functions are characterized via integral representations and special attention is paid to linear fractional transformations which arise in extension and spectral problems of symmetric and selfadjoint operators.

引用

页码：331 / 362

页数：32

共 24 条

[1] Monotone convergence theorems for semi-bounded operators and forms with applications [J].