{
  "id": "math/0210341",
  "version": "v1",
  "published": "2002-10-22T10:43:30.000Z",
  "updated": "2002-10-22T10:43:30.000Z",
  "title": "Random linear combinations of functions from $L_1$",
  "authors": [
    "Pavel Grigoriev"
  ],
  "comment": "To be puslished in Mathematical Notes",
  "categories": [
    "math.PR",
    "math.CA"
  ],
  "abstract": "In the paper I study properties of random polynomials with respect to a general system of functions. Some lower bounds for the mathematical expectation of the uniform and recently introduced integral-uniform norms of random polynomials are established. {\\sc Key words and phrases:} Random polynomial, estimates for maximum of random process, integral-uniform norm.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-10-22T10:43:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G99",
      "60G70",
      "26D15"
    ],
    "keywords": [
      "random linear combinations",
      "random polynomial",
      "integral-uniform norm",
      "random process",
      "general system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10341G"
    }
  }
}