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arXiv:2205.10112 [math.FA]AbstractReferencesReviewsResources

Interpolation in multivariable de Branges-Rovnyak spaces

Joseph A. Ball, Vladimir Bolotnikov, Sanne ter Horst

Published 2022-05-20Version 1

We study a general metric constrained interpolation problem in a de Branges-Rovnyak space $\mathcal{H}(K_S)$ associated with a contractive multiplier $S$ between two Fock spaces along with its commutative counterpart, a de Branges-Rovnyak space associated with a Schur multiplier on the Drury-Arveson space of the unit ball of $\mathbb{C}^n$.

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