{
  "id": "2205.10112",
  "version": "v1",
  "published": "2022-05-20T12:10:03.000Z",
  "updated": "2022-05-20T12:10:03.000Z",
  "title": "Interpolation in multivariable de Branges-Rovnyak spaces",
  "authors": [
    "Joseph A. Ball",
    "Vladimir Bolotnikov",
    "Sanne ter Horst"
  ],
  "comment": "47 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "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 $\\mathbb{C}^n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-20T12:10:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E22",
      "47A57",
      "30E05"
    ],
    "keywords": [
      "branges-rovnyak space",
      "general metric constrained interpolation problem",
      "multivariable",
      "fock spaces",
      "schur multiplier"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}