{
  "id": "1007.3528",
  "version": "v2",
  "published": "2010-07-20T22:03:24.000Z",
  "updated": "2011-07-02T23:39:46.000Z",
  "title": "Characterization of coorbit spaces with phase-space covers",
  "authors": [
    "José Luis Romero"
  ],
  "comment": "31 pages. Revised version (title slightly changed). Typos fixed",
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that coorbit spaces can be characterized in terms of arbitrary phase-space covers, which are families of phase-space multipliers associated with partitions of unity. This generalizes previously known results for time-frequency analysis to include time-scale decompositions. As a by-product, we extend the existing results for time-frequency analysis to an irregular setting.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-07-02T23:39:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "42C15",
      "42C40"
    ],
    "keywords": [
      "coorbit spaces",
      "characterization",
      "time-frequency analysis",
      "arbitrary phase-space covers",
      "time-scale decompositions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.3528R"
    }
  }
}