{
  "id": "1210.5143",
  "version": "v1",
  "published": "2012-10-18T14:43:01.000Z",
  "updated": "2012-10-18T14:43:01.000Z",
  "title": "A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions",
  "authors": [
    "Elena Cordero",
    "Fabio Nicola",
    "Luigi Rodin"
  ],
  "comment": "16 pages. arXiv admin note: text overlap with arXiv:1209.0945",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We give a brief survey of recent results concerning almost diagonalization of pseudodifferential operators via Gabor frames. Moreover, we show new connections between symbols with Gevrey, analytic or ultra-analityc regularity and time-frequency analysis of the corresponding pseudodifferential operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-18T14:43:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S30",
      "47G30",
      "42C15"
    ],
    "keywords": [
      "time-frequency analysis",
      "ultra-analytic functions",
      "brief survey",
      "gabor frames",
      "corresponding pseudodifferential operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.5143C"
    }
  }
}