{
  "annotation_id": "faf6e676-6c2d-4237-8f1a-b6b187a5f7ed",
  "date_created": "2026-03-02T18:01:18.199000Z",
  "date_modified": "2026-03-02T18:01:18.199000Z",
  "file_hash": "51f096391305e9070eba3b821e263a76a3c38e535635e0696166d63ddd235bf0",
  "private": false,
  "record": {
    "abstract": "We explore the use of bi-orthogonal basis for continuous wavelet\ntransformations, thus relaxing the so-called admissibility condition on the\nanalyzing wavelet. As an application, we determine the eigenvalues and\ncorresponding radial eigenfunctions of the Hamiltonian of relativistic\nHydrogen-like atoms.",
    "arxiv_id": "physics/9703002",
    "authors": [
      "H. Falomir",
      "M. A. Muschietti",
      "E. M. Santangelo",
      "J. Solomin"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.530580",
    "journal_ref": "J.Math.Phys.35:1939-1950,1994",
    "title": "A calculation with a bi-orthogonal wavelet transformation",
    "url": "https://arxiv.org/abs/physics/9703002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "05efe388-e801-4b7f-afb6-ddea3f944b8f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}