{
  "id": "2306.13260",
  "version": "v1",
  "published": "2023-06-23T01:58:22.000Z",
  "updated": "2023-06-23T01:58:22.000Z",
  "title": "Weyl Transform on Nonunimodular Groups",
  "authors": [
    "Santosh Kumar Nayak"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "For $p>2$, B. Simon\\cite{Simon} studied the unboundedness of the Weyl transform for symbol belonging to $L^p({\\mathbb{R}^n\\times \\mathbb{R}^n})$. In this article, we study the analog of unboundedness of the Weyl transform on some nonunimodular groups, namely, the affine group, similitude group, and affine Poincar\\'e group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-23T01:58:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weyl transform",
      "nonunimodular groups",
      "affine poincare group",
      "similitude group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}