Which de Branges-Rovnyak spaces have complete Nevanlinna-Pick property?

TL;DR

This paper characterizes de Branges-Rovnyak spaces that possess the complete Nevanlinna-Pick property using the theory of reproducing kernel Hilbert spaces, providing a comprehensive understanding of their structure.

Contribution

It offers a new characterization of de Branges-Rovnyak spaces with the complete Nevanlinna-Pick property based on reproducing kernel Hilbert space theory.

Findings

Identifies conditions for de Branges-Rovnyak spaces to have the complete Nevanlinna-Pick property

Provides a framework for analyzing reproducing kernel Hilbert spaces in this context

Enhances understanding of the structure of these function spaces

Abstract

We characterize the de Branges-Rovnyak spaces with complete Nevanlinna-Pick property. Our method relies on the general theory of reproducing kernel Hilbert spaces.