{
  "id": "math/0212096",
  "version": "v3",
  "published": "2002-12-06T17:13:36.000Z",
  "updated": "2003-04-22T18:30:16.000Z",
  "title": "Wavelets in mathematical physics: q-oscillators",
  "authors": [
    "Palle E. T. Jorgensen",
    "Anna Paolucci"
  ],
  "comment": "(03/11/03):18 pages; LaTeX2e, \"article\" document class with \"letterpaper\" option An outline was added under the abstract (p.1), paragraphs added to Introduction (p.2), mat'l added to Proofs in Theorems 1 and 6 (pgs.5&17), material added to text for the conclusion (p.17), one add'l reference added [12]. (04/22/03):\"number 1\" replace with \"term C\" (p.9), single sentences reformed into a one paragraph (p.13), QED symbol moved up one paragraph and last paragraph labeled as \"Concluding Remarks.\"",
  "journal": "J. Phys. A: Math. Gen. 36 (2003), 6483-6494",
  "doi": "10.1088/0305-4470/36/23/313",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "We construct representations of a q-oscillator algebra by operators on Fock space on positive matrices. They emerge from a multiresolution scaling construction used in wavelet analysis. The representations of the Cuntz Algebra arising from this multiresolution analysis are contained as a special case in the Fock Space construction.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-04-22T18:30:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mathematical physics",
      "fock space construction",
      "q-oscillator algebra",
      "special case",
      "construct representations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....12096J"
    }
  }
}