{
  "id": "2104.09198",
  "version": "v1",
  "published": "2021-04-19T10:42:42.000Z",
  "updated": "2021-04-19T10:42:42.000Z",
  "title": "Quantizations and global hypoellipticity for pseudodifferential operators of infinite order in classes of ultradifferentiable functions",
  "authors": [
    "Vicente Asensio"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the change of quantization for a class of global pseudodifferential operators of infinite order in the setting of ultradifferentiable functions of Beurling type. The composition of different quantizations as well as the transpose of a quantization are also analysed, with applications to the Weyl calculus. We also compare global $\\omega$-hypoellipticity and global $\\omega$-regularity of these classes of pseudodifferential operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-19T10:42:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite order",
      "ultradifferentiable functions",
      "global hypoellipticity",
      "quantization",
      "global pseudodifferential operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}