A characterization of Herglotz-Nevanlinna functions in two variables via integral representations

被引：10

作者：

Luger, Annemarie ^{[1
]}

Nedic, Mitja ^{[1
]}

机构：

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

来源：

ARKIV FOR MATEMATIK | 2017年 / 55卷 / 01期

关键词：

integral representation; Herglotz-Nevanlinna function; several complex variables;

D O I：

10.4310/ARKIV.2017.v55.n1.a10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive an integral representation for Herglotz-Nevanlinna functions in two variables, which provides a complete characterization of this class in terms of a real number, two non-negative numbers and a positive measure satisfying certain conditions. Further properties of the class of representing measures are also discussed.

引用

页码：199 / 216

页数：18

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