{
  "id": "1110.3222",
  "version": "v1",
  "published": "2011-10-14T14:39:10.000Z",
  "updated": "2011-10-14T14:39:10.000Z",
  "title": "A characterisation of the Fourier transform on the Heisenberg group",
  "authors": [
    "R. Lakshmi Lavanya",
    "S. Thangavelu"
  ],
  "comment": "13 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "The aim of this paper is to show that any continuous *-homomorphism of L1(Cn)(with twisted convolution as multipli- cation) into B(L2(Rn)) is essentially a Weyl transform. From this we deduce a similar characterisation for the group Fourier transform on the Heisenberg group, in terms of convolution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-14T14:39:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heisenberg group",
      "group fourier transform",
      "similar characterisation",
      "weyl transform",
      "twisted convolution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.3222L"
    }
  }
}