{
  "id": "math/0411044",
  "version": "v1",
  "published": "2004-11-02T12:11:21.000Z",
  "updated": "2004-11-02T12:11:21.000Z",
  "title": "Inversions of integral operators and elliptic beta integrals on root systems",
  "authors": [
    "Vyacheslav P. Spiridonov",
    "S. Ole Warnaar"
  ],
  "comment": "36 pages",
  "journal": "Adv. Math. 207 (2006), 91-132.",
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove a novel type of inversion formula for elliptic hypergeometric integrals associated to a pair of root systems. Using the (A,C) inversion formula to invert one of the known C-type elliptic beta integrals, we obtain a new elliptic beta integral for the root system of type A. Validity of this integral is established by a different method as well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-02T12:11:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D60",
      "33E05"
    ],
    "keywords": [
      "root system",
      "integral operators",
      "c-type elliptic beta integrals",
      "inversion formula",
      "novel type"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11044S"
    }
  }
}