{
  "id": "2102.13641",
  "version": "v1",
  "published": "2021-02-26T18:38:41.000Z",
  "updated": "2021-02-26T18:38:41.000Z",
  "title": "Distributional Point Values and Delta Sequences",
  "authors": [
    "Ricardo Estrada",
    "Kevin Kellinsky-Gonzalez"
  ],
  "comment": "17 Pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Recently Sasane defined a notion of evaluating a distribution at a point using delta sequences. In this paper, we explore the relationship between generalizations of his definition and the standard definition of distributional point values. This allows us to obtain a description of distributional point values via delta sequences and a characterization of when a distribution is actually a regular distribution given by bounded function. We also give a characterization of limits in a continuous variable by the existence of the limits of certain sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-26T18:38:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46F10"
    ],
    "keywords": [
      "distributional point values",
      "delta sequences",
      "standard definition",
      "characterization",
      "regular distribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}