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arXiv · 1605.06232

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

Annemarie Luger·Mitja Nedic
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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.

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Annemarie Luger, Mitja Nedic. 2016-05-20. A characterization of Herglotz-Nevanlinna functions in two variables via integral representations. https://doi.org/10.4310/arkiv.2017.v55.n1.a10

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