{
  "id": "0803.0077",
  "version": "v4",
  "published": "2008-03-02T06:56:44.000Z",
  "updated": "2009-11-22T16:04:43.000Z",
  "title": "Finite tight frames and some applications",
  "authors": [
    "Nicolae Cotfas",
    "Jean Pierre Gazeau"
  ],
  "comment": "28 pages, LaTeX in IOP style, New results added",
  "journal": "J. Phys.A: Math. Theor. 43 (2010) 193001 (26pp)",
  "doi": "10.1088/1751-8113/43/19/193001",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A finite-dimensional Hilbert space is usually described in terms of an orthonormal basis, but in certain approaches or applications a description in terms of a finite overcomplete system of vectors, called a finite tight frame, may offer some advantages. The use of a finite tight frame may lead to a simpler description of the symmetry transformations, to a simpler and more symmetric form of invariants or to the possibility to define new mathematical objects with physical meaning, particularly in regard with the notion of a quantization of a finite set. We present some results concerning the use of integer coefficients and frame quantization, several examples and suggest some possible applications.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2009-11-22T16:04:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81R30",
      "52C23"
    ],
    "keywords": [
      "finite tight frame",
      "applications",
      "finite-dimensional hilbert space",
      "finite overcomplete system",
      "orthonormal basis"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.0077C"
    }
  }
}