{
  "id": "math/0511238",
  "version": "v1",
  "published": "2005-11-09T18:20:48.000Z",
  "updated": "2005-11-09T18:20:48.000Z",
  "title": "Integral representation with weights II, division and interpolation",
  "authors": [
    "Mats Andersson"
  ],
  "categories": [
    "math.CV"
  ],
  "abstract": "Let $f$ be a $r\\times m$-matrix of holomorphic functions that is generically surjective. We provide explicit integral representation of holomorphic $\\psi$ such that $\\phi=f\\psi$, provided that $\\phi$ is holomorphic and annihilates a certain residue current with support on the set where $f$ is not surjective. We also consider formulas for interpolation. As applications we obtain generalizations of various results previously known for the case $r=1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-09T18:20:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "interpolation",
      "explicit integral representation",
      "holomorphic functions",
      "residue current",
      "annihilates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11238A"
    }
  }
}