{
  "id": "1208.1883",
  "version": "v1",
  "published": "2012-08-09T12:04:03.000Z",
  "updated": "2012-08-09T12:04:03.000Z",
  "title": "Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces",
  "authors": [
    "Aparajita Dasgupta",
    "Michael Ruzhansky"
  ],
  "comment": "23 pages",
  "categories": [
    "math.FA",
    "math.RT"
  ],
  "abstract": "In this paper we give global characterisations of Gevrey-Roumieu and Gevrey-Beurling spaces of ultradifferentiable functions on compact Lie groups in terms of the representation theory of the group and the spectrum of the Laplace-Beltrami operator. Furthermore, we characterise their duals, the spaces of corresponding ultradistributions. For the latter, the proof is based on first obtaining the characterisation of their $\\alpha$-duals in the sense of Koethe and the theory of sequence spaces. We also give the corresponding characterisations on compact homogeneous spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-09T12:04:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46F05",
      "22E30"
    ],
    "keywords": [
      "compact lie groups",
      "gevrey functions",
      "ultradistributions",
      "global characterisations",
      "laplace-beltrami operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.1883D"
    }
  }
}