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arXiv · 2511.15305

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

Michel Crouzeix
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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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Michel Crouzeix. 2025-11-19. Inner functions and Pick-Nevanlinna interpolation in a multi-connected domain. https://arxiv.org/abs/2511.15305

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