{
  "id": "math/0311186",
  "version": "v1",
  "published": "2003-11-12T09:53:27.000Z",
  "updated": "2003-11-12T09:53:27.000Z",
  "title": "Some remarks on the $L^p-L^q$ boundedness of trigonometric sums and oscillatory integrals",
  "authors": [
    "Damiano Foschi"
  ],
  "comment": "20 pages, 2 figures",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "We discuss the asymptotic behaviour for the best constant in L^p-L^q estimates for trigonometric polinomials and for an integral operator which is related to the solution of inhomogeneous Schrodinger equations. This gives us an opportunity to review some basic facts about oscillatory integrals and the method of stationary phase, and also to make some remarks in connection with Strichartz estimates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-12T09:53:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D15",
      "42A05"
    ],
    "keywords": [
      "oscillatory integrals",
      "trigonometric sums",
      "boundedness",
      "asymptotic behaviour",
      "basic facts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11186F"
    }
  }
}