{
  "id": "0709.2326",
  "version": "v1",
  "published": "2007-09-14T15:26:36.000Z",
  "updated": "2007-09-14T15:26:36.000Z",
  "title": "Integrable operators and the squares of Hankel operators",
  "authors": [
    "Gordon Blower"
  ],
  "comment": "14 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distributions of large self-adjoint random matrices from the generalized unitary ensembles. This paper gives sufficient conditions for an integrable operator to be the square of a Hankel operator, and applies the condition to the Airy, associated Laguerre, modified Besses and Whittaker functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-14T15:26:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35"
    ],
    "keywords": [
      "hankel operator",
      "large self-adjoint random matrices",
      "random matrix theory",
      "asymptotic eigenvalue distributions",
      "whittaker functions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.jmaa.2007.09.034",
      "journal": "Journal of Mathematical Analysis and Applications",
      "year": 2008,
      "month": "Apr",
      "volume": 340,
      "number": 2,
      "pages": 943
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JMAA..340..943B"
    }
  }
}