{
  "id": "math/0204304",
  "version": "v1",
  "published": "2002-04-24T18:33:21.000Z",
  "updated": "2002-04-24T18:33:21.000Z",
  "title": "Asymptotics of determinants of Bessel operators",
  "authors": [
    "Estelle L. Basor",
    "Torsten Ehrhardt"
  ],
  "doi": "10.1007/s00220-002-0769-1",
  "categories": [
    "math.FA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we determine the asymptotics of the determinant of Bessel operators for sufficiently smooth generating functions. These operators are similar to Wiener-Hopf operators with the Fourier transform replaced by the Hankel transform and thus the asymptotics of the determinanst are similar to the well-known Szeg\\\"o-Akhiezer-Kac formula for truncated Wiener-Hopf determinants. In order to compute the above, we also show that the Bessel operators differ from the Wiener-Hopf by a Hilbert-Schmidt operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-04-24T18:33:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35"
    ],
    "keywords": [
      "asymptotics",
      "bessel operators differ",
      "hilbert-schmidt operator",
      "wiener-hopf operators",
      "fourier transform"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Commun. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}