{
  "id": "1406.0282",
  "version": "v1",
  "published": "2014-06-02T08:06:45.000Z",
  "updated": "2014-06-02T08:06:45.000Z",
  "title": "A characterization of moment sequences by extensions",
  "authors": [
    "Konrad Schmüdgen"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The fibre theorem \\cite{schm2003} for the moment problem on closed semi-algebraic subsets of $\\R^d$ is generalized to finitely generated real unital algebras. A charaterization of moment functionals on the polynomial algebra $\\R[x_1,\\dots,x_d]$ in terms of extensions is given. These results are applied to reprove basic results on the complex moment problem due to Stochel and Szafraniec \\cite{stochelsz} and Bisgaard \\cite{bisgaard}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-02T08:06:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A60",
      "14P10"
    ],
    "keywords": [
      "moment sequences",
      "extensions",
      "characterization",
      "complex moment problem",
      "finitely generated real unital algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.0282S"
    }
  }
}