{
  "id": "math/0111304",
  "version": "v4",
  "published": "2001-11-29T16:17:15.000Z",
  "updated": "2004-11-25T12:45:55.000Z",
  "title": "The Plancherel decomposition for a reductive symmetric space II. Representation theory",
  "authors": [
    "E. P. van den Ban",
    "H. Schlichtkrull"
  ],
  "comment": "60 pages, LaTeX 2e, revised introduction. Accepted by Invent. Math",
  "journal": "Inventiones Mathematicae 161 (3) 2005, 567 - 628",
  "doi": "10.1007/s00222-004-0432-x",
  "categories": [
    "math.RT"
  ],
  "abstract": "We obtain the Plancherel decomposition for a reductive symmetric space in the sense of representation theory. Our starting point is the Plancherel formula for spherical Schwartz functions, obtained in part I (math.RT/0107063). The formula for Schwartz functions involves Eisenstein integrals obtained by a residual calculus. In the present paper we identify these integrals as matrix coefficients of the generalized principal series.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2004-11-25T12:45:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E30",
      "22E46"
    ],
    "keywords": [
      "reductive symmetric space",
      "plancherel decomposition",
      "representation theory",
      "generalized principal series",
      "matrix coefficients"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Inventiones Mathematicae",
      "year": 2005,
      "month": "Apr",
      "volume": 161,
      "number": 3,
      "pages": 567
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 60,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005InMat.161..567V"
    }
  }
}