{
  "id": "2409.08113",
  "version": "v1",
  "published": "2024-09-12T15:05:47.000Z",
  "updated": "2024-09-12T15:05:47.000Z",
  "title": "On Harish-Chandra's Plancherel theorem for Riemannian symmetric spaces",
  "authors": [
    "Bernhard Krötz",
    "Job J. Kuit",
    "Henrik Schlichtkrull"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this article we give an overview of the Plancherel theory for Riemannian symmetric spaces Z = G/K. In particular we illustrate recently developed methods in Plancherel theory for real spherical spaces by explicating them for Riemannian symmetric spaces, and we explain how Harish-Chandra's Plancherel theorem for Z can be proven from these methods.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-12T15:05:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A90",
      "22E46",
      "43A85"
    ],
    "keywords": [
      "riemannian symmetric spaces",
      "harish-chandras plancherel theorem",
      "plancherel theory",
      "real spherical spaces",
      "illustrate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}