{
  "id": "1311.3084",
  "version": "v2",
  "published": "2013-11-13T11:24:17.000Z",
  "updated": "2013-11-25T11:12:47.000Z",
  "title": "On the iterated Stieltjes transform and its convolution with applications to singular integral equations",
  "authors": [
    "S. Yakubovich",
    "M. Martins"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We consider mapping properties of the iterated Stieltjes transform, establishing its new relations with the iterated Hilbert transform (a singular integral) on the half-axis and proving the corresponding convolution and Titchmarsh's type theorems. Moreover, the obtained convolution method is applied to solve a new class of singular integral equations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-25T11:12:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A15",
      "44A35",
      "45E05",
      "45E10"
    ],
    "keywords": [
      "singular integral equations",
      "iterated stieltjes transform",
      "applications",
      "titchmarshs type theorems",
      "iterated hilbert transform"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.3084Y"
    }
  }
}