{
  "id": "1110.5478",
  "version": "v1",
  "published": "2011-10-25T12:07:56.000Z",
  "updated": "2011-10-25T12:07:56.000Z",
  "title": "Multifractal analysis of the divergence of Fourier series: the extreme cases",
  "authors": [
    "Frédéric Bayart",
    "Yanick Heurteaux"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We study the size, in terms of the Hausdorff dimension, of the subsets of $\\mathbb T$ such that the Fourier series of a generic function in $L^1(\\TT)$, $L^p(\\TT)$ or in $\\mathcal C(\\mathbb T)$ may behave badly. Genericity is related to the Baire category theorem or to the notion of prevalence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-25T12:07:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fourier series",
      "extreme cases",
      "multifractal analysis",
      "divergence",
      "baire category theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.5478B"
    }
  }
}