{
  "id": "1001.5332",
  "version": "v2",
  "published": "2010-01-29T06:31:39.000Z",
  "updated": "2012-06-23T19:22:50.000Z",
  "title": "Transfer of Fourier multipliers into Schur multipliers and sumsets in a discrete group",
  "authors": [
    "Stefan Neuwirth",
    "Éric Ricard"
  ],
  "comment": "Corresponds to the version published in the Canadian Journal of Mathematics 63(5):1161-1187 (2011)",
  "journal": "Canadian Journal of Mathematics 63, 5 (2011) 1161-1187",
  "doi": "10.4153/CJM-2011-053-9",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "We inspect the relationship between relative Fourier multipliers on noncommutative Lebesgue-Orlicz spaces of a discrete group and relative Toeplitz-Schur multipliers on Schatten-von-Neumann-Orlicz classes. Four applications are given: lacunary sets; unconditional Schauder bases for the subspace of a Lebesgue space determined by a given spectrum, that is, by a subset of the group; the norm of the Hilbert transform and the Riesz projection on Schatten-von-Neumann classes with exponent a power of 2; the norm of Toeplitz Schur multipliers on Schatten-von-Neumann classes with exponent less than 1.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-06-23T19:22:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "discrete group",
      "schatten-von-neumann classes",
      "unconditional schauder bases",
      "toeplitz schur multipliers",
      "noncommutative lebesgue-orlicz spaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.5332N"
    }
  }
}