{
  "id": "0709.2496",
  "version": "v2",
  "published": "2007-09-16T15:52:27.000Z",
  "updated": "2008-09-21T17:06:46.000Z",
  "title": "Resolution of singularities, asymptotic expansions of oscillatory integrals, and related phenomena",
  "authors": [
    "Michael Greenblatt"
  ],
  "comment": "23 pages, v2 new title and a few minor changes",
  "categories": [
    "math.CA"
  ],
  "abstract": "The elementary resolution of singularities algorithm of the author's earlier paper (math.CA/0609217) is developed further, replacing the quasibump functions in the blown up coordinates with the characteristic function of a rectangle times a smooth function. Such functions are easier to deal with, and as application the existence of asymptotic expansions for oscillatory integrals and related objects is given an elementary proof. In addition, some more detailed information about these expansions is given.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-09-21T17:06:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "oscillatory integrals",
      "asymptotic expansions",
      "related phenomena",
      "authors earlier paper",
      "elementary proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.2496G"
    }
  }
}