{
  "id": "1506.05694",
  "version": "v1",
  "published": "2015-06-18T14:31:14.000Z",
  "updated": "2015-06-18T14:31:14.000Z",
  "title": "On uniformly bounded basis in spaces of holomorphic functions",
  "authors": [
    "Jean Bourgain"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The main result of the paper is the construction of explicit uniformly bounded basis in the spaces of complex homogenous polynomials on the unit ball of $C^3$, extending an earlier result of the author in the $C^2$ case",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-18T14:31:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E15",
      "32A99",
      "42A56"
    ],
    "keywords": [
      "holomorphic functions",
      "earlier result",
      "explicit uniformly bounded basis",
      "complex homogenous polynomials",
      "unit ball"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150605694B"
    }
  }
}