{
  "id": "1612.00932",
  "version": "v1",
  "published": "2016-12-03T06:27:46.000Z",
  "updated": "2016-12-03T06:27:46.000Z",
  "title": "Quaternionic Fock space in an Euclidean unit ball $\\mathbb{B}^n$",
  "authors": [
    "Sanjay Kumar",
    "Khalid Manzoor"
  ],
  "comment": "13 pages. arXiv admin note: text overlap with arXiv:1611.05199",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we study the quaternionic counterpart of complex Fock spaces $\\mathfrak{F}_{\\alpha}^p ( 0<p<\\infty$ and for some parameter $\\alpha$) of entire slice hyperholomorphic functions in an Euclidean unit ball $\\mathbb{B}^n$ in $\\mathbb{H}^n.$ We also study some basic properties of these spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-03T06:27:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B38",
      "47B33",
      "30D55"
    ],
    "keywords": [
      "euclidean unit ball",
      "quaternionic fock space",
      "entire slice hyperholomorphic functions",
      "complex fock spaces",
      "basic properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}