{
  "id": "1512.08476",
  "version": "v1",
  "published": "2015-12-28T18:22:18.000Z",
  "updated": "2015-12-28T18:22:18.000Z",
  "title": "Some properties of the resolvent kernels for continuous bi-Carleman kernels",
  "authors": [
    "Igor M. Novitskii"
  ],
  "comment": "20 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove that, at regular values lying in a strong convergence region, the resolvent kernels for a continuous bi-Carleman kernel vanishing at infinity can be expressed as uniform limits of sequences of resolvent kernels for its approximating subkernels of Hilbert-Schmidt type",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-28T18:22:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "45P05",
      "45A05"
    ],
    "keywords": [
      "resolvent kernels",
      "properties",
      "strong convergence region",
      "hilbert-schmidt type",
      "uniform limits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151208476N"
    }
  }
}