{
  "id": "1003.1281",
  "version": "v1",
  "published": "2010-03-05T14:58:25.000Z",
  "updated": "2010-03-05T14:58:25.000Z",
  "title": "Association between temperate distributions and analytical functions in the context of wave-front sets",
  "authors": [
    "Karoline Johansson"
  ],
  "comment": "22 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let B be a translation invariant Banach function space (BF-space). In this paper we prove that every temperate distribution f can be associated with a function F analytic in the convex tube Omega={z in C^d; |Im z|<1} such that the wave-front set of f of Fourier BF-space types in intersection with R^d \\times S^{d-1} consists of the points (x,\\xi) such that F does not belong to the Fourier BF-space at x-i\\xi.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-05T14:58:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A18"
    ],
    "keywords": [
      "wave-front set",
      "temperate distribution",
      "analytical functions",
      "translation invariant banach function space",
      "association"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.1281J"
    }
  }
}