{
  "id": "math/0608506",
  "version": "v1",
  "published": "2006-08-21T12:55:58.000Z",
  "updated": "2006-08-21T12:55:58.000Z",
  "title": "Local interpolation in Hilbert spaces of Dirichlet series",
  "authors": [
    "Jan-Fredrik Olsen",
    "Kristian Seip"
  ],
  "journal": "Proc. Amer. Math. Soc. 136 (2008), no. 1, 203-212",
  "doi": "10.1090/S0002-9939-07-08955-1",
  "categories": [
    "math.CV",
    "math-ph",
    "math.FA",
    "math.MP"
  ],
  "abstract": "We denote by $\\Hp$ the Hilbert space of ordinary Dirichlet series with square-summable coefficients. The main result is that a bounded sequence of points in the half-plane $\\sigma >1/2$ is an interpolating sequence for $\\Hp$ if and only if it is an interpolating sequence for the Hardy space $H^2$ of the same half-plane. Similar local results are obtained for Hilbert spaces of ordinary Dirichlet series that relate to Bergman and Dirichlet spaces of the half-plane $\\sigma >1/2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-21T12:55:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30B50",
      "30E05",
      "30H05"
    ],
    "keywords": [
      "hilbert space",
      "local interpolation",
      "ordinary dirichlet series",
      "similar local results",
      "interpolating sequence"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8506O"
    }
  }
}