{
  "id": "1308.1893",
  "version": "v5",
  "published": "2013-08-08T16:20:04.000Z",
  "updated": "2014-02-08T12:56:41.000Z",
  "title": "Paley-Wiener-Schwartz nearly Parseval frames and Besov spaces on noncompact symmetric spaces",
  "authors": [
    "Isaac Z. Pesenson"
  ],
  "comment": "published in \"Commutative and Noncommutative Harmonic Analysis and Applications\", Contemporary Mathematics, v. 603, (2013), pp.55-73. arXiv admin note: text overlap with arXiv:1104.1711",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $X$ be a symmetric space of the noncompact type. The goal of the paper is to construct in the space $L_{2}(X)$ nearly Parseval frames consisting of functions which simultaneously belong to Paley-Wiener spaces and to Schwartz space on $X$. We call them Paley-Wiener-Schwartz frames in $L_{2}(X)$. These frames are used to characterize a family of Besov spaces on $X$. As a part of our construction we develop on $X$ the so-called average Shannon-type sampling.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2014-02-08T12:56:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "noncompact symmetric spaces",
      "besov spaces",
      "noncompact type",
      "paley-wiener spaces",
      "schwartz space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.1893P"
    }
  }
}