{
  "id": "math/0203207",
  "version": "v2",
  "published": "2002-03-20T12:14:32.000Z",
  "updated": "2002-10-30T09:17:01.000Z",
  "title": "On the moment problem of closed semi-algebraic sets",
  "authors": [
    "Konrad Schmuedgen"
  ],
  "comment": "LaTeX2e, 12 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $K_f$ be a closed semi-algebraic set in $\\dR^d$ such that there exist bounded real polynomials $h_1,{...},h_n$ on $K_f$. It is proved that the moment problem for $K_f$ is solvable provided it is for all sets $K_f\\cap C_\\lambda$, where $C_\\lambda=\\{x:h_1(x)=\\lambda_1,{...},h_n(x)=\\lambda_n\\}$ and $\\inf\\{h_j(x); x\\in K_f\\}\\le\\lambda_j\\le\\sup\\{h_j(x);x\\in K_f\\}$. New classes of non-compact closed semi-algebraic sets $K_f$ are found for which the moment problem is solvable. To appear in Journal fuer die Reine und Angewandte Mathematik",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-10-30T09:17:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A60",
      "14P10",
      "14P05"
    ],
    "keywords": [
      "closed semi-algebraic set",
      "moment problem",
      "die reine und angewandte mathematik",
      "fuer die reine und angewandte",
      "journal fuer die reine und"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......3207S"
    }
  }
}