{
  "id": "0901.1275",
  "version": "v1",
  "published": "2009-01-09T17:01:39.000Z",
  "updated": "2009-01-09T17:01:39.000Z",
  "title": "On the Usefulness of Modulation Spaces in Deformation Quantization",
  "authors": [
    "Maurice de Gosson",
    "Franz Luef"
  ],
  "comment": "Submitted",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We discuss the relevance to deformation quantization of Feichtinger's modulation spaces, especially of the weighted Sjoestrand classes. These function spaces are good classes of symbols of pseudo-differential operators (observables). They have a widespread use in time-frequency analysis and related topics, but are not very well-known in physics. It turns out that they are particularly well adapted to the study of the Moyal star-product and of the star-exponential.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-09T17:01:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "deformation quantization",
      "usefulness",
      "feichtingers modulation spaces",
      "function spaces",
      "moyal star-product"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/42/31/315205",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2009,
      "month": "Aug",
      "volume": 42,
      "number": 31,
      "pages": 315205
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JPhA...42E5205D"
    }
  }
}