{
  "id": "1903.00189",
  "version": "v1",
  "published": "2019-03-01T07:58:32.000Z",
  "updated": "2019-03-01T07:58:32.000Z",
  "title": "On properties of Bernstein functions of several complex variables",
  "authors": [
    "A. R. Mirotin"
  ],
  "comment": "in Russian",
  "categories": [
    "math.FA"
  ],
  "abstract": "A multidimensional generalization of the Bernstein class of functions and the properties of functions of the entered class are examined. In particular, a new proof of the integral representation of Bernstein functions of many variables is given. Examples are considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-01T07:58:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A60"
    ],
    "keywords": [
      "bernstein functions",
      "complex variables",
      "properties",
      "multidimensional generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "ru",
      "license": "arXiv",
      "status": "editable"
    }
  }
}