An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function in several variables
Complex Variables
2025-08-13 v1
Abstract
In this paper, we derive an analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function in several variables. Here, the main tools used are the so-called variable non-dependence property and the symmetry formula satisfied by Herglotz-Nevanlinna function and Cauchy-type functions. We also provide an extension of the Stieltjes inversion formula for Cauchy-type functions.
Keywords
Cite
@article{arxiv.2102.08031,
title = {An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function in several variables},
author = {Mitja Nedic},
journal= {arXiv preprint arXiv:2102.08031},
year = {2025}
}
Comments
13 pages, 1 figure, 2 tables