{
  "id": "math/0304002",
  "version": "v1",
  "published": "2003-03-31T22:56:55.000Z",
  "updated": "2003-03-31T22:56:55.000Z",
  "title": "On the Determinant of a Certain Wiener-Hopf + Hankel Operator",
  "authors": [
    "Estelle L. Basor",
    "Torsten Ehrhardt",
    "Harold Widom"
  ],
  "comment": "LaTeX file, 14 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We establish an asymptotic formula for determinants of truncated Wiener-Hopf+Hankel operators with symbol equal to the exponential of a constant times the characteristic function of an interval. This is done by reducing it to the corresponding (known) asymptotics for truncated Toeplitz+Hankel operators. The determinants in question arise in random matrix theory in determining the limiting distribution for the number of eigenvalues in an interval for a scaled Laguerre ensemble of positive Hermitian matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-03-31T22:56:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35"
    ],
    "keywords": [
      "hankel operator",
      "determinant",
      "wiener-hopf",
      "random matrix theory",
      "symbol equal"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......4002B"
    }
  }
}