Inner functions and Pick-Nevanlinna interpolation in a multi-connected domain

2025/11/19 by Michel Crouzeix, Crouzeix, Michel · 1 citation
Mathematics · #Spectral Theory in Mathematical Physics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2511.15305

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.

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