{
  "id": "2009.09620",
  "version": "v1",
  "published": "2020-09-21T05:44:04.000Z",
  "updated": "2020-09-21T05:44:04.000Z",
  "title": "On oscillatory integrals associated to phase functions with degenerate singular points",
  "authors": [
    "Toshio Nagano",
    "Naoya Miyazaki"
  ],
  "categories": [
    "math.CA",
    "math-ph",
    "math.DG",
    "math.MP"
  ],
  "abstract": "In this note, by using the result in one variable, we obtain asymptotic expansions of oscillatory integrals for certain multivariable phase functions with {\\bf degenerate} singular points. Moreover by using this result, we have asymptotic expansions of oscillatory integrals with phase function of type $A_{k}$, $E_6$, $E_8$-function germs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-21T05:44:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "41A60",
      "58K05"
    ],
    "keywords": [
      "oscillatory integrals",
      "degenerate singular points",
      "asymptotic expansions",
      "function germs",
      "multivariable phase functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}