Herglotz-Nevanlinna functions in several variables

被引：7

作者：

Luger, Annemarie ^{[1
]}

Nedic, Mitja ^{[1
]}

机构：

[1] Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 472卷 / 01期

关键词：

Integral representations; Several complex variables; Herglotz-Nevanlinna functions;

D O I：

10.1016/j.jmaa.2018.11.072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a characterization of the class of Herglotz-Nevanlinna functions in several variables is given in terms of an integral representation. The conditions on the representing measure are discussed in detail, and, furthermore, the properties of the symmetric extension of a Herglotz-Nevanlinna function are also investigated. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1189 / 1219

页数：31

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