{
  "id": "1005.1769",
  "version": "v1",
  "published": "2010-05-11T09:02:34.000Z",
  "updated": "2010-05-11T09:02:34.000Z",
  "title": "The two-dimensional moment problem in a strip",
  "authors": [
    "Sergey M. Zagorodnyuk"
  ],
  "comment": "28 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we study the two-dimensional moment problem in a strip $\\Pi(R) = \\{ (x_1,x_2)\\in \\mathbb{R}^2:\\ |x_2| \\leq R \\}$, $R>0$. We obtained a solvability criterion for this moment problem. We derived a parameterization of all solutions of the moment problem. An abstract operator approach and results of Godi\\v{c}, Lucenko and Shtraus are used.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-11T09:02:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A60"
    ],
    "keywords": [
      "two-dimensional moment problem",
      "abstract operator approach",
      "solvability criterion",
      "parameterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.1769Z"
    }
  }
}