{
  "id": "0710.3652",
  "version": "v1",
  "published": "2007-10-19T08:32:47.000Z",
  "updated": "2007-10-19T08:32:47.000Z",
  "title": "Time-Frequency Analysis of Fourier Integral Operators",
  "authors": [
    "Elena Cordero",
    "Fabio Nicola",
    "Luigi Rodino"
  ],
  "categories": [
    "math.AP",
    "math.NA"
  ],
  "abstract": "We use time-frequency methods for the study of Fourier Integral operators (FIOs). In this paper we shall show that Gabor frames provide very efficient representations for a large class of FIOs. Indeed, similarly to the case of shearlets and curvelets frames, the matrix representation of a Fourier Integral Operator with respect to a Gabor frame is well-organized. This is used as a powerful tool to study the boundedness of FIOs on modulation spaces. As special cases, we recapture boundedness results on modulation spaces for pseudo-differential operators with symbols in $M^{\\infty,1}$, for some unimodular Fourier multipliers and metaplectic operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-19T08:32:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S30",
      "47G30",
      "42C15"
    ],
    "keywords": [
      "fourier integral operator",
      "time-frequency analysis",
      "gabor frame",
      "modulation spaces",
      "unimodular fourier multipliers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.3652C"
    }
  }
}