{
  "id": "math/0312517",
  "version": "v1",
  "published": "2003-12-31T16:28:17.000Z",
  "updated": "2003-12-31T16:28:17.000Z",
  "title": "The Schwartz algebra of an affine Hecke algebra",
  "authors": [
    "Patrick Delorme",
    "Eric Opdam"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "For a general affine Hecke algebra H we study its Schwartz completion S. The main theorem is an exact description of the image of S under the Fourier isomorphism. An important ingredient in the proof of this result is the definition and computation of the constant terms of a coefficient of a generalized principal series representation. Finally we discuss some consequences of the main theorem for the theory of tempered representations of H.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-31T16:28:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08",
      "22D25",
      "22E35",
      "43A30"
    ],
    "keywords": [
      "schwartz algebra",
      "main theorem",
      "general affine hecke algebra",
      "generalized principal series representation",
      "important ingredient"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12517D"
    }
  }
}