{
  "id": "1001.0326",
  "version": "v1",
  "published": "2010-01-03T23:37:08.000Z",
  "updated": "2010-01-03T23:37:08.000Z",
  "title": "Herz-Schur Multipliers and Non-Uniformly Bounded Representations of Locally Compact Groups",
  "authors": [
    "Troels Steenstrup"
  ],
  "comment": "12 pages",
  "categories": [
    "math.RT",
    "math.OA"
  ],
  "abstract": "Let G be a second countable, locally compact group and let f be a continuous Herz-Schur multiplier on G. Our main result gives the existence of a (not necessarily uniformly bounded) strongly continuous representation on a Hilbert space, such that f is the coefficient of this representation with respect to two vectors with bounded orbit. Moreover, we show that the norm of the representation of an element g from G is at most exponential in terms of the metric distance from g to the identity element of G.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-03T23:37:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22D12",
      "46L07"
    ],
    "keywords": [
      "locally compact group",
      "non-uniformly bounded representations",
      "continuous herz-schur multiplier",
      "metric distance",
      "identity element"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.0326S"
    }
  }
}