{
  "id": "math/0312389",
  "version": "v1",
  "published": "2003-12-19T19:47:53.000Z",
  "updated": "2003-12-19T19:47:53.000Z",
  "title": "Relations on noncommutative variables and associated orthogonal polynomials",
  "authors": [
    "T. Banks",
    "T. Constantinescu",
    "J. L. Johnson"
  ],
  "comment": "29 pages, 4 figures",
  "categories": [
    "math.FA"
  ],
  "abstract": "This semi-expository paper surveys results concerning three classes of orthogonal polynomials: in one non-hermitian variable, in several isometric non-commuting variables, and in several hermitian non-commuting variables. The emphasis is on some dilation theoretic techniques that are also described in some details.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-19T19:47:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "associated orthogonal polynomials",
      "noncommutative variables",
      "semi-expository paper surveys results concerning",
      "dilation theoretic techniques",
      "isometric non-commuting variables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12389B"
    }
  }
}