{
  "id": "1801.07010",
  "version": "v1",
  "published": "2018-01-22T09:43:55.000Z",
  "updated": "2018-01-22T09:43:55.000Z",
  "title": "Discrete fractional integral operators with binary quadratic forms as phase polynomials",
  "authors": [
    "Faruk Temur",
    "Ezgi Sert"
  ],
  "categories": [
    "math.CA",
    "math.NT"
  ],
  "abstract": "We give estimates on discrete fractional integral operators along binary quadratic forms. These operators have been studied for 30 years starting with the investigations of Arkhipov and Oskolkov, but efforts have concentrated on cases where the phase polynomial is translation invariant or quasi-translation invariant. This work presents the first results for operators with neither translation invariant nor quasi-translation invariant phase polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-22T09:43:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A12",
      "42B20"
    ],
    "keywords": [
      "discrete fractional integral operators",
      "binary quadratic forms",
      "quasi-translation invariant phase polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}