Inner functions and Pick-Nevanlinna interpolation in a multi-connected domain
Complex Variables
2025-11-20 v1 Functional Analysis
Abstract
We describe the set of inner functions of finite order in a multi-connected domain, then we consider an optimization formulation of the Pick-Nevanlinna interpolation problem, and we generalize it to Hermite type interpolation.
Keywords
Cite
@article{arxiv.2511.15305,
title = {Inner functions and Pick-Nevanlinna interpolation in a multi-connected domain},
author = {Michel Crouzeix},
journal= {arXiv preprint arXiv:2511.15305},
year = {2025}
}