{
  "id": "math/0104259",
  "version": "v2",
  "published": "2001-04-27T08:38:50.000Z",
  "updated": "2001-04-30T09:08:46.000Z",
  "title": "Product formulas on a unitary group in three variables",
  "authors": [
    "Lei Yang"
  ],
  "comment": "79 pages",
  "categories": [
    "math.NT",
    "math.AG",
    "math.RT"
  ],
  "abstract": "We obtain some basic partial differential operators connected with nonholomorphic automorphic forms on $\\Gamma \\backslash U(2, 1)/K$. We give the corresponding Eisenstein series of weight $k$ and automorphic Green functions of weight $k$. Moreover, we get the product formulas connected with them. As a consequence of the product formulas, we give the functional equations of Eisenstein series associated to a convex cocompact subgroup of U(2,1).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-04-30T09:08:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F55",
      "11F60",
      "11F66",
      "14G10",
      "22E40"
    ],
    "keywords": [
      "product formulas",
      "unitary group",
      "eisenstein series",
      "convex cocompact subgroup",
      "nonholomorphic automorphic forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 79,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......4259Y"
    }
  }
}