{
  "id": "1504.03591",
  "version": "v1",
  "published": "2015-04-14T15:49:09.000Z",
  "updated": "2015-04-14T15:49:09.000Z",
  "title": "An elementary approach to asymptotic behavior in the Cesàro sense and applications to the Laplace and Stieltjes transforms",
  "authors": [
    "Dennis Nemzer",
    "Jasson Vindas"
  ],
  "comment": "13 pages",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We present a elementary approach to asymptotic behavior of generalized functions in the Ces\\`{a}ro sense. Our approach is based on Yosida's subspace of Mikusi\\'{n}ski operators. Applications to Laplace and Stieltjes transforms are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-14T15:49:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A60",
      "44A40",
      "44A10",
      "44A15",
      "46F10",
      "46F12"
    ],
    "keywords": [
      "asymptotic behavior",
      "elementary approach",
      "stieltjes transforms",
      "cesàro sense"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150403591N"
    }
  }
}