{
  "id": "math/0602540",
  "version": "v1",
  "published": "2006-02-24T00:58:16.000Z",
  "updated": "2006-02-24T00:58:16.000Z",
  "title": "Generalized cosine transforms and classes of star bodies",
  "authors": [
    "Boris Rubin"
  ],
  "categories": [
    "math.FA",
    "math.DG"
  ],
  "abstract": "The spherical Radon transform on the unit sphere can be regarded as a member of the analytic family of suitably normalized generalized cosine transforms. We derive new formulas for these transforms and apply them to study classes of intersections bodies in convex geometry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-24T00:58:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A12"
    ],
    "keywords": [
      "star bodies",
      "convex geometry",
      "suitably normalized generalized cosine transforms",
      "spherical radon transform",
      "unit sphere"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2540R"
    }
  }
}