{
  "annotation_id": "afa0cbe4-b886-46a1-9f01-d582cd6060ba",
  "date_created": "2026-03-02T18:01:27.603000Z",
  "date_modified": "2026-03-02T18:01:27.603000Z",
  "file_hash": "c5a0dce5e24ab5589975fb6174690172a3d493a40d0600e701806a48935ee191",
  "private": false,
  "record": {
    "abstract": "We study the most elementary aspects of harmonic analysis on a homogeneous\nspace of a deformation of the two-dimensional Euclidean group, admitting\ngeneralizations to dimensions three and four, whose quantum parameter has the\nphysical dimensions of a length. The homogeneous space is recognized as a new\nquantum plane and the action of the Euclidean quantum group is used to\ndetermine an eigenvalue problem for the Casimir operator, that constitutes the\nanalogue of the Schroedinger equation in the presence of such deformation. The\nsolutions are given in the plane wave and in the angular momentum bases and are\nexpressed in terms of hypergeometric series with non commuting parameters",
    "arxiv_id": "q-alg/9605027",
    "authors": [
      "F. Bonechi",
      "R. Giachetti",
      "M. A. del Olmo",
      "E. Sorace",
      "M. Tarlini"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "A new class of deformed special functions from quantum homogeneous   spaces",
    "url": "https://arxiv.org/abs/q-alg/9605027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0b54212d-cacf-4281-be83-c25ca620e2c5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}