{
  "id": "2311.05625",
  "version": "v1",
  "published": "2023-08-28T02:31:51.000Z",
  "updated": "2023-08-28T02:31:51.000Z",
  "title": "Systems of functional equations, the generalized shift, and modelling pathological functions",
  "authors": [
    "Symon Serbenyuk"
  ],
  "comment": "11 pages, a generalization of arXiv:2001.08157",
  "categories": [
    "math.CA"
  ],
  "abstract": "The present article is devoted to one class of generalizations of the Salem functions. To construct such functions by systems of functional equations, the generalized shift operator is used.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-28T02:31:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "functional equations",
      "modelling pathological functions",
      "salem functions",
      "generalized shift operator",
      "generalizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}