{
  "id": "1201.4079",
  "version": "v1",
  "published": "2012-01-19T15:28:31.000Z",
  "updated": "2012-01-19T15:28:31.000Z",
  "title": "The Wiener Property for a Class of Fourier Integral Operators",
  "authors": [
    "Elena Cordero",
    "Karlheinz Gröchenig",
    "Fabio Nicola",
    "Luigi Rodino"
  ],
  "comment": "19 pages",
  "journal": "J.\\ Math. Pure Appl. 99(2) (2013), 125-250",
  "categories": [
    "math.FA",
    "math.AP"
  ],
  "abstract": "We construct a one-parameter family of algebras consisting of Fourier integral operators. We derive boundedness results, composition rules, and the spectral invariance of this class of operators. The operator algebra is defined by the decay properties of an associated Gabor matrix around the graph of the canonical transformation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-19T15:28:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S30",
      "47G30",
      "42C15"
    ],
    "keywords": [
      "fourier integral operators",
      "wiener property",
      "associated gabor matrix",
      "decay properties",
      "derive boundedness results"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.4079C"
    }
  }
}