{
  "id": "1704.00049",
  "version": "v1",
  "published": "2017-03-31T20:27:55.000Z",
  "updated": "2017-03-31T20:27:55.000Z",
  "title": "Projectors separating spectra for $L^2$ on symmetric spaces $GL(n,\\C)/GL(n,\\R)$",
  "authors": [
    "Yury A. Neretin"
  ],
  "comment": "21p",
  "categories": [
    "math.RT",
    "math.FA"
  ],
  "abstract": "The Plancherel decomposition of $L^2$ on a pseudo-Riemannian symmetric space $GL(n,C)/GL(n,R)$ has spectrum of $[n/2]$ types. We write explicitly orthogonal projectors separating spectrum into uniform pieces",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-31T20:27:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46",
      "43A30",
      "43A32",
      "43A85",
      "53C35"
    ],
    "keywords": [
      "pseudo-riemannian symmetric space",
      "explicitly orthogonal projectors separating spectrum",
      "uniform pieces",
      "write explicitly orthogonal projectors separating",
      "plancherel decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}