Interpolation in multivariable de Branges-Rovnyak spaces

preprint2022arXivOpen access

Abstract

We study a general metric constrained interpolation problem in a de Branges-Rovnyak space H(KS)\mathcal{H}(K_S) associated with a contractive multiplier SS 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 Cn\mathbb{C}^n.

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