{
  "id": "1312.0464",
  "version": "v2",
  "published": "2013-12-02T14:12:36.000Z",
  "updated": "2013-12-03T17:23:40.000Z",
  "title": "A Mixed Parseval-Plancherel Formula",
  "authors": [
    "Omran Kouba"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "In this note, a general formula is proved. It expresses the integral on the line of the product of a function $f$ and a periodic function $g$ in terms of the Fourier transform of $f$ and the Fourier coefficients of $g$. This allows the evaluation of some oscillatory integrals.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-03T17:23:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42A16",
      "42A38",
      "42B20"
    ],
    "keywords": [
      "mixed parseval-plancherel formula",
      "fourier coefficients",
      "fourier transform",
      "general formula",
      "periodic function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.0464K"
    }
  }
}