{
  "id": "2010.11141",
  "version": "v1",
  "published": "2020-10-21T16:57:12.000Z",
  "updated": "2020-10-21T16:57:12.000Z",
  "title": "On asymptotic expansions of oscillatory integrals with phase functions expressed by a product of positive real power function and real analytic function in one variable",
  "authors": [
    "Toshio Nagano"
  ],
  "categories": [
    "math.CA",
    "math-ph",
    "math.DG",
    "math.MP"
  ],
  "abstract": "In this paper, by using asymptotic expansions of oscillatory integrals with positive real power phase functions in one variable, we obtain asymptotic expansions of oscillatory integrals with phase functions expressed by a product of positive real power function and real analytic function in one variable. Moreover we show an example which we can compute all coefficients of terms in asymptotic expansions concretely.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-21T16:57:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "41A60",
      "33B20"
    ],
    "keywords": [
      "positive real power function",
      "real analytic function",
      "asymptotic expansions",
      "oscillatory integrals",
      "real power phase functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}