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 class of representing measures are also discussed.
Funding Statement
The authors are supported by the SSF applied mathematics grant nr. AM13-0011.
Citation
Annemarie Luger. Mitja Nedic. "A characterization of Herglotz–Nevanlinna functions in two variables via integral representations." Ark. Mat. 55 (1) 199 - 216, September 2017. https://doi.org/10.4310/ARKIV.2017.v55.n1.a10
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