English

Interpolation in multivariable de Branges-Rovnyak spaces

Functional Analysis 2022-05-23 v1

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.

Keywords

Cite

@article{arxiv.2205.10112,
  title  = {Interpolation in multivariable de Branges-Rovnyak spaces},
  author = {Joseph A. Ball and Vladimir Bolotnikov and Sanne ter Horst},
  journal= {arXiv preprint arXiv:2205.10112},
  year   = {2022}
}

Comments

47 pages

R2 v1 2026-06-24T11:23:21.915Z