{
  "id": "math/0703068",
  "version": "v2",
  "published": "2007-03-02T19:28:15.000Z",
  "updated": "2008-06-26T21:46:53.000Z",
  "title": "Restriction of Fourier transforms to curves, II: Some classes with vanishing torsion",
  "authors": [
    "Jong-Guk Bak",
    "Daniel M. Oberlin",
    "Andreas Seeger"
  ],
  "comment": "26 pages, Final version to appear in the Journal of the Australian Mathematical Society",
  "journal": "Journal of the Australian Mathematical Society, 85 (2008), 1-28.",
  "categories": [
    "math.CA"
  ],
  "abstract": "We consider the Fourier restriction operators associated to certain degenerate curves in R^d for which the highest torsion vanishes. We prove estimates with respect to affine arclength and with respect to the Euclidean arclength measure on the curve. The estimates have certain uniform features, and the affine arclength results cover families of flat curves.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-06-26T21:46:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B10",
      "42B99"
    ],
    "keywords": [
      "fourier transforms",
      "vanishing torsion",
      "affine arclength results cover families",
      "highest torsion vanishes",
      "euclidean arclength measure"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3068B"
    }
  }
}