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

Annemarie Luger Stockholm University Mitja Nedic Stockholm University

Functional Analysis mathscidoc:1803.43016

Arkiv for Matematik, 55, 2017
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.
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@inproceedings{annemarie2017a,
  title={A characterization of Herglotz-Nevanlinna functions in two variables via integral representations},
  author={Annemarie Luger, and Mitja Nedic},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180301171143963541951},
  booktitle={Arkiv for Matematik},
  volume={55},
  year={2017},
}
Annemarie Luger, and Mitja Nedic. A characterization of Herglotz-Nevanlinna functions in two variables via integral representations. 2017. Vol. 55. In Arkiv for Matematik. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180301171143963541951.
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