{
  "id": "1502.00881",
  "version": "v1",
  "published": "2015-02-03T15:01:33.000Z",
  "updated": "2015-02-03T15:01:33.000Z",
  "title": "A spectral identity for second moments of Eisenstein series of O(n, 1)",
  "authors": [
    "João Pedro Boavida"
  ],
  "comment": "18 pages",
  "journal": "Illinois J. Math. 57 (2013), no. 4, 1111-1130",
  "categories": [
    "math.NT",
    "math.FA"
  ],
  "abstract": "Let H=O(n)xO(1) be an anisotropic subgroup of G=O(n, 1) and let A be the adele ring of k=Q. Consider the periods of an Eisenstein series on G against a form F on H. Relying on a variant of Levi-Sobolev spaces, we describe certain Poincar\\'e series as fundamental solutions for the laplacian, and use them to establish a spectral identity concerning the second moments (in F-aspect) of the Eisenstein series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-03T15:01:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F67",
      "11E45",
      "11F72",
      "43A85",
      "43A90",
      "46E35"
    ],
    "keywords": [
      "eisenstein series",
      "second moments",
      "spectral identity",
      "anisotropic subgroup",
      "levi-sobolev spaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150200881B"
    }
  }
}