{
  "id": "2104.15112",
  "version": "v1",
  "published": "2021-04-30T16:53:22.000Z",
  "updated": "2021-04-30T16:53:22.000Z",
  "title": "Localization operators associated with the windowed Opdam-Cherednik transform on modulation spaces",
  "authors": [
    "Anirudha Poria"
  ],
  "comment": "20 pages. arXiv admin note: text overlap with arXiv:2005.14274",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "In this paper, we study a class of pseudodifferential operators known as time-frequency localization operators, which depend on a symbol $\\varsigma$ and two windows functions $g_1$ and $g_2$. We first present some basic properties of the windowed Opdam-Cherednik transform. Then, we use modulation spaces associated with the Opdam-Cherednik transform as appropriate classes for symbols and windows, and study the boundedness and compactness of the localization operators associated with the windowed Opdam-Cherednik transform on modulation spaces. Finally, we show that these operators are in the Schatten-von Neumann class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-30T16:53:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47G30",
      "44A15",
      "42B35",
      "47B10"
    ],
    "keywords": [
      "windowed opdam-cherednik transform",
      "modulation spaces",
      "schatten-von neumann class",
      "time-frequency localization operators",
      "basic properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}