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Darlington's Theorem for Rational Nevanlinna Functions in Several Variables

Complex Variables 2023-01-11 v1

Abstract

Every rational Nevanlinna function in n variables is a Cayley inner function in n + 1 variables with one variable fixed in the upper half-plane.

Keywords

Cite

@article{arxiv.2301.03851,
  title  = {Darlington's Theorem for Rational Nevanlinna Functions in Several Variables},
  author = {M. F. Bessmertnyi},
  journal= {arXiv preprint arXiv:2301.03851},
  year   = {2023}
}

Comments

5 pages

R2 v1 2026-06-28T08:08:21.102Z