{
  "id": "1609.02205",
  "version": "v1",
  "published": "2016-09-07T21:55:18.000Z",
  "updated": "2016-09-07T21:55:18.000Z",
  "title": "On the Determination of Star Bodies from Their Half-Sections",
  "authors": [
    "Boris Rubin"
  ],
  "comment": "7 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We obtain explicit inversion formulas for the Radon-like transform that assigns to a function on the unit sphere the integrals of that function over hemispheres lying in lower dimensional central cross-sections. The results are applied to determination of star bodies from the volumes of their central half-sections.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-07T21:55:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A12"
    ],
    "keywords": [
      "star bodies",
      "determination",
      "lower dimensional central cross-sections",
      "explicit inversion formulas",
      "central half-sections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}