{
  "id": "1602.07083",
  "version": "v1",
  "published": "2016-02-23T08:29:55.000Z",
  "updated": "2016-02-23T08:29:55.000Z",
  "title": "On the generation of Beurling type Carleman ultradifferentiable $C_0$-semigroups by scalar type spectral operators",
  "authors": [
    "Marat V. Markin"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "A characterization of the scalar type spectral generators of Beurling type Carleman ultradifferentiable $C_0$-semigroups is established, the important case of the Gevrey ultradifferentiability is considered in detail, the implementation of the general criterion corresponding to a certain rapidly growing defining sequence is observed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-23T08:29:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B40",
      "47D03",
      "47D60",
      "47D06",
      "30D60",
      "34G10",
      "47B15"
    ],
    "keywords": [
      "beurling type carleman ultradifferentiable",
      "scalar type spectral operators",
      "semigroups",
      "scalar type spectral generators",
      "generation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}