{
  "annotation_id": "8bef0e4b-e115-48b2-a44f-b1027b518e12",
  "date_created": "2026-03-02T18:01:21.879000Z",
  "date_modified": "2026-03-02T18:01:21.879000Z",
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  "record": {
    "abstract": "The integral representation on the orthogonal groups for zonal spherical\nfunctions on the symmetric space $SU(N)/SO(N,\\R)$ is used to obtain a\ngenerating function for such functions. For the case N=3 the three-dimensional\nintegral representation reduces to a one-dimensional one.",
    "arxiv_id": "physics/9708036",
    "authors": [
      "J. F. Cari\u00f1ena",
      "A. M. Perelomov"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/30/15/003",
    "journal_ref": "J.Phys. A30 (1997) L495-L501",
    "title": "A few remarks on integral representation for zonal spherical functions   on the symmetric space $SU(N)/SO(N,\\R)$",
    "url": "https://arxiv.org/abs/physics/9708036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2a6bd88c-35f4-42fb-a0e2-dd2adca95774",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}