{
  "id": "1108.5634",
  "version": "v1",
  "published": "2011-08-29T16:25:41.000Z",
  "updated": "2011-08-29T16:25:41.000Z",
  "title": "Deconvolution of band limited functions on non-compact symmetric spaces",
  "authors": [
    "Isaac Pesenson"
  ],
  "journal": "Houston J. Math. 32 (2006), no. 1, 183-204",
  "categories": [
    "math.FA"
  ],
  "abstract": "It is shown that a band limited function on a non-compact symmetric space can be reconstructed in a stable way from some countable sets of values of its convolution with certain distributions of compact support. A reconstruction method in terms of frames is given which is a generalization of the classical result of Duffin-Schaeffer about exponential frames on intervals. The second reconstruction method is given in terms of polyharmonic average splines.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-29T16:25:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-compact symmetric space",
      "band limited function",
      "deconvolution",
      "second reconstruction method",
      "polyharmonic average splines"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.5634P"
    }
  }
}