{
  "id": "math/9807141",
  "version": "v3",
  "published": "1998-07-25T10:48:25.000Z",
  "updated": "1999-07-27T15:21:19.000Z",
  "title": "Wavelets in Banach Spaces",
  "authors": [
    "Vladimir V. Kisil"
  ],
  "comment": "37 pages; LaTeX2e; no pictures; 27/07/99: many small corrections",
  "journal": "Acta Appl. Math. 59(1999), no. 1, pp. 79--109",
  "categories": [
    "math.FA",
    "math-ph",
    "math.CV",
    "math.MP",
    "math.RT",
    "quant-ph"
  ],
  "abstract": "We describe a construction of wavelets (coherent states) in Banach spaces generated by ``admissible'' group representations. Our main targets are applications in pure mathematics while connections with quantum mechanics are mentioned. As an example we consider operator valued Segal-Bargmann type spaces and the Weyl functional calculus. Keywords: Wavelets, coherent states, Banach spaces, group representations, covariant, contravariant (Wick) symbols, Heisenberg group, Segal-Bargmann spaces, Weyl functional calculus (quantization), second quantization, bosonic field.",
  "revisions": [
    {
      "version": "v3",
      "updated": "1999-07-27T15:21:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A85",
      "32M99",
      "43A32",
      "46E10",
      "47A60",
      "47A67",
      "47C99",
      "81R30",
      "81S10"
    ],
    "keywords": [
      "banach spaces",
      "weyl functional calculus",
      "group representations",
      "operator valued segal-bargmann type spaces",
      "coherent states"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 474637,
      "adsabs": "1998math......7141K"
    }
  }
}