{
  "id": "1309.4143",
  "version": "v2",
  "published": "2013-09-17T00:49:10.000Z",
  "updated": "2014-09-29T05:46:33.000Z",
  "title": "On the determination of a function from cylindrical Radon transforms",
  "authors": [
    "Sunghwan Moon"
  ],
  "categories": [
    "math.FA",
    "math.AP"
  ],
  "abstract": "This paper is devoted to a Radon-type transform arising in Photoacoustic Tomography that uses integrating line detectors. We consider two situations: when the line detectors are tangent to the boundary of a cylindrical domain and when the line detectors are located on a plane. We present the analogue of the Fourier slice theorems for each case of the Radon-type transforms. Also, we provide several new inversion formulas, a support theorem, and stability estimate and necessary range condition results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-17T00:49:10.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-09-29T05:46:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A12",
      "92C55"
    ],
    "keywords": [
      "cylindrical radon transforms",
      "line detectors",
      "radon-type transform",
      "determination",
      "necessary range condition results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.4143M"
    }
  }
}