{
  "id": "1808.08445",
  "version": "v1",
  "published": "2018-08-25T16:02:48.000Z",
  "updated": "2018-08-25T16:02:48.000Z",
  "title": "Semi-continuous g-frames in Hilbert spaces",
  "authors": [
    "Anirudha Poria"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we introduce the concept of semi-continuous $g$-frames in Hilbert spaces. We first construct an example of semi-continuous $g$-frames using the Fourier transform of the Heisenberg group and study the structure of such frames. Then, as an application we provide some fundamental identities and inequalities for semi-continuous $g$-frames. Finally, we present a classical perturbation result and prove that semi-continuous $g$-frames are stable under small perturbations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-25T16:02:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "47B38",
      "42C40"
    ],
    "keywords": [
      "hilbert spaces",
      "semi-continuous g-frames",
      "small perturbations",
      "classical perturbation result",
      "first construct"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}