{
  "id": "1010.2342",
  "version": "v3",
  "published": "2010-10-12T09:59:19.000Z",
  "updated": "2012-10-25T03:06:37.000Z",
  "title": "Fourier transform and rigidity of certain distributions",
  "authors": [
    "Binyong Sun",
    "Chen-Bo Zhu"
  ],
  "comment": "10 pages",
  "journal": "Int. J. Math. 23, 1250129 (2012)",
  "doi": "10.1142/S0129167X12501297",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $E$ be a finite dimensional vector space over a local field, and $F$ be its dual. For a closed subset $X$ of $E$, and $Y$ of $F$, consider the space $D^{-\\xi}(E;X,Y)$ of tempered distributions on $E$ whose support are contained in $X$ and support of whose Fourier transform are contained in $Y$. We show that $D^{-\\xi}(E;X,Y)$ possesses a certain rigidity property, for $X$, $Y$ which are some finite unions of affine subspaces.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-10-25T03:06:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "46F05"
    ],
    "keywords": [
      "fourier transform",
      "finite dimensional vector space",
      "local field",
      "rigidity property",
      "finite unions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.2342S"
    }
  }
}