{
  "id": "2102.00703",
  "version": "v1",
  "published": "2021-02-01T08:58:48.000Z",
  "updated": "2021-02-01T08:58:48.000Z",
  "title": "On an isomorphism theorem for the Feichtinger's Segal alagebra on locally compact groups",
  "authors": [
    "Lakshmi Lavanya Ramamurthy"
  ],
  "comment": "12 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article we observe that a locally compact group $G$ is completely determined by the algebraic properties of its Feichtinger's Segal algebra $S_0(G).$ Let $G$ and $H$ be locally compact groups. Then any linear (not necessarily continuous) bijection of $S_0(G)$ onto $S_0(H)$ which preserves the convolution and pointwise products is essentially a composition with a homeomorphic isomorphism of $H$ onto $G.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-01T08:58:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A30",
      "46J35"
    ],
    "keywords": [
      "locally compact group",
      "feichtingers segal alagebra",
      "isomorphism theorem",
      "feichtingers segal algebra",
      "algebraic properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}