{
  "id": "1801.08780",
  "version": "v1",
  "published": "2018-01-26T12:29:58.000Z",
  "updated": "2018-01-26T12:29:58.000Z",
  "title": "After Plancherel formula",
  "authors": [
    "Yury A. Neretin"
  ],
  "comment": "11p",
  "categories": [
    "math.RT",
    "math.FA"
  ],
  "abstract": "We discuss two topics related to Fourier transforms on Lie groups and on homogeneous spaces: the operational calculus and the Gelfand--Gindikin problem (program) about separation of non-uniform spectra. Our purpose is to indicate some non-solved problems of non-commutative harmonic analysis that definitely are solvable. This is a sketch of my talks on VI School \"Geometry and Physics\", Bialowieza, Poland, June 2017.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-26T12:29:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E30",
      "22E46",
      "43A30",
      "43A80",
      "43A85"
    ],
    "keywords": [
      "plancherel formula",
      "lie groups",
      "operational calculus",
      "gelfand-gindikin problem",
      "vi school"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}