{
  "id": "2404.04468",
  "version": "v1",
  "published": "2024-04-06T01:53:48.000Z",
  "updated": "2024-04-06T01:53:48.000Z",
  "title": "Asymptotic analysis for generalized functions using frames",
  "authors": [
    "Jasmina Veta Buralieva",
    "Diana T. Stoeva",
    "Katerina Hadzi-Velkova Saneva",
    "Sanja Atanasova"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper is a short overview of the main Abelian- and Tauberian-type results from [4, 14, 26] regarding the asymptotic analysis of different classes of generalized functions in terms of appropriate frames. The Tauberian-type results provide a comprehensive characterization of the quasiasymptotic and S-asymptotic properties of distributions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-06T01:53:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A60",
      "26A12",
      "46F05",
      "42C15"
    ],
    "keywords": [
      "asymptotic analysis",
      "generalized functions",
      "tauberian-type results",
      "short overview",
      "appropriate frames"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}