{
  "id": "math/0408019",
  "version": "v1",
  "published": "2004-08-02T14:21:59.000Z",
  "updated": "2004-08-02T14:21:59.000Z",
  "title": "On polynomials orthogonal to all powers of a given polynomial on a segment",
  "authors": [
    "Fedor Pakovich"
  ],
  "comment": "27 pages, 9 figures",
  "categories": [
    "math.CA",
    "math.CV"
  ],
  "abstract": "In this paper we investigate the following \"polynomial moment problem\": for a complex polynomial $P(z)$ and distinct complex numbers $a,b$ to describe polynomials $q(z)$ orthogonal to all integer non-negative powers of $P(z)$ on the segment $[a,b].$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-08-02T14:21:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "polynomials orthogonal",
      "polynomial moment problem",
      "distinct complex numbers",
      "complex polynomial",
      "integer non-negative powers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......8019P"
    }
  }
}