{
  "id": "2105.00549",
  "version": "v1",
  "published": "2021-05-02T20:25:52.000Z",
  "updated": "2021-05-02T20:25:52.000Z",
  "title": "Infinite Geraghty type extensions and its applications on integral equations",
  "authors": [
    "Rivu Bardhana",
    "Cenep Ozel",
    "Liliana Guran"
  ],
  "comment": "17 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this article, we go on to discuss about a series of infinite dimensional extension of the theorems in [3], [5], [6]. We also prove a similar Geraghty type constructions for Fisher ([5]) in infinite dimension, using similar techniques as in [3] and [6]. As an application a theory of finding solutions for the infinite dimensional Fredholm integral equation and Uryshon type integral equation is also provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-02T20:25:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H10",
      "54H25",
      "45A02",
      "45B02"
    ],
    "keywords": [
      "infinite geraghty type extensions",
      "application",
      "infinite dimensional fredholm integral equation",
      "similar geraghty type constructions",
      "uryshon type integral equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}