{
  "id": "0707.0803",
  "version": "v1",
  "published": "2007-07-05T15:11:42.000Z",
  "updated": "2007-07-05T15:11:42.000Z",
  "title": "Representation theory, Radon transform and the heat equation on a Riemannian symmetric space",
  "authors": [
    "Gestur Olafsson",
    "Henrik Schlichtkrull"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Let X=G/K be a Riemannian symmetric space of the noncompact type. We give a short exposition of the representation theory related to X, and discuss its holomorphic extension to the complex crown, a G-invariant subdomain in the complexified symmetric space X_\\C=G_\\C/K_\\C. Applications to the heat transform and the Radon transform for X are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-05T15:11:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C67",
      "46E20",
      "58J35",
      "22E30",
      "43A85"
    ],
    "keywords": [
      "riemannian symmetric space",
      "representation theory",
      "radon transform",
      "heat equation",
      "complexified symmetric space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.0803O"
    }
  }
}