{
  "id": "2208.12468",
  "version": "v1",
  "published": "2022-08-26T07:17:00.000Z",
  "updated": "2022-08-26T07:17:00.000Z",
  "title": "Estimates for generalizated oscillatory integrals with polynomial phase",
  "authors": [
    "Isroil A. Ikromov",
    "Akbar R. Safarov"
  ],
  "categories": [
    "math.CA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we consider the problem on uniform estimates for generalized oscillatory integrals given by Mittag- Leffler functions with the homogeneous polynomial phase. We obtain a variant of Ricci-Stein Lemma and invariant estimates for corresponding integrals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-26T07:17:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35D10",
      "42B20",
      "26D10"
    ],
    "keywords": [
      "generalizated oscillatory integrals",
      "uniform estimates",
      "generalized oscillatory integrals",
      "leffler functions",
      "homogeneous polynomial phase"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}