English

An integral representation for Herglotz-Nevanlinna functions in several variables

Complex Variables 2019-09-24 v1

Abstract

In this article, a characterization of the class of Herglotz-Nevanlinna functions in nn variables is given in terms of an integral representation. Furthermore, alternative conditions on the measure appearing in this representation are discussed in detail. Symmetry properties induced by the integral representation are also investigated.

Keywords

Cite

@article{arxiv.1705.10562,
  title  = {An integral representation for Herglotz-Nevanlinna functions in several variables},
  author = {Annemarie Luger and Mitja Nedic},
  journal= {arXiv preprint arXiv:1705.10562},
  year   = {2019}
}

Comments

26 pages

R2 v1 2026-06-22T20:03:19.986Z