{
  "id": "1906.10349",
  "version": "v1",
  "published": "2019-06-25T06:58:09.000Z",
  "updated": "2019-06-25T06:58:09.000Z",
  "title": "Optimal extension of the Fourier transform and convolution operator on compact groups",
  "authors": [
    "Manoj Kumar",
    "N. Shravan Kumar"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $G$ be a compact group (not necessarily abelian) and let $\\Phi$ be a Young function satisfying the $\\Delta_2$-condition. We determine the optimal domain and the associated extended operator for both Fourier transform and the convolution operator defined on the Orlicz spaces $L^\\Phi(G).$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-25T06:58:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A15",
      "43A30",
      "46G10"
    ],
    "keywords": [
      "fourier transform",
      "convolution operator",
      "compact group",
      "optimal extension",
      "optimal domain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}