{
  "id": "1710.06210",
  "version": "v1",
  "published": "2017-10-17T11:17:30.000Z",
  "updated": "2017-10-17T11:17:30.000Z",
  "title": "Compactness of Fourier Integral Operators on weighted modulation spaces",
  "authors": [
    "Carmen Fernández",
    "Antonio Galbis",
    "Eva Primo"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Using the matrix representation of Fourier integral operators with respect to a Gabor frame, we study their compactness on weighted modulation spaces. As a consequence, we recover and improve some compactness results for pseudodifferential operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-17T11:17:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S30",
      "47G30",
      "42C15"
    ],
    "keywords": [
      "fourier integral operators",
      "weighted modulation spaces",
      "pseudodifferential operators",
      "matrix representation",
      "compactness results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}