A characterization of Herglotz-Nevanlinna functions in two variables via integral representations
Complex Variables
2018-12-11 v3
Abstract
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 representing measures are discussed.
Keywords
Cite
@article{arxiv.1605.06232,
title = {A characterization of Herglotz-Nevanlinna functions in two variables via integral representations},
author = {Annemarie Luger and Mitja Nedic},
journal= {arXiv preprint arXiv:1605.06232},
year = {2018}
}
Comments
15 pages, 2 figures, accepted for publication in Arkiv f\"or Matematik