{
  "id": "2412.09543",
  "version": "v1",
  "published": "2024-12-12T18:34:23.000Z",
  "updated": "2024-12-12T18:34:23.000Z",
  "title": "Symbolic calculus for a class of pseudodifferential operators with applications to compactness",
  "authors": [
    "Árpád Bényi",
    "Tadahiro Oh",
    "Rodolfo H. Torres"
  ],
  "comment": "15 pages",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We prove a symbolic calculus for a class of pseudodifferential operators, and discuss its applications to $L^2$-compactness via a compact version of the $T(1)$ theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-12-12T18:34:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "47B07",
      "42B25"
    ],
    "keywords": [
      "pseudodifferential operators",
      "symbolic calculus",
      "applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}