{
  "id": "1902.01531",
  "version": "v1",
  "published": "2019-02-05T03:59:37.000Z",
  "updated": "2019-02-05T03:59:37.000Z",
  "title": "Sampling theorem and reconstruction formula for the space of translates on the Heisenberg group",
  "authors": [
    "S. Arati",
    "R. Radha"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The paper deals with the necessary and sufficient conditions for obtaining reconstruction formulae and sampling theorems for every function belonging to the principal shift invariant subspace of $L^2(\\mathbb{H}^n)$, both in the time domain and a transform domain, where $\\mathbb{H}^n$ denotes the Heisenberg group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-05T03:59:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heisenberg group",
      "sampling theorem",
      "translates",
      "principal shift invariant subspace",
      "transform domain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}