{
  "id": "1804.03690",
  "version": "v1",
  "published": "2018-04-09T12:20:43.000Z",
  "updated": "2018-04-09T12:20:43.000Z",
  "title": "A simple proof of a duality theorem with applications in viscoelasticity",
  "authors": [
    "Andrzej Hanyga"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "A new concise proof is given of a duality theorem connecting completely monotone relaxation functions with Bernstein class creep functions. The proof makes use of the theory of complete Bernstein functions and Stieltjes functions and is based on a relation between these two function classes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-09T12:20:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "74D05",
      "42A99"
    ],
    "keywords": [
      "duality theorem",
      "simple proof",
      "viscoelasticity",
      "bernstein class creep functions",
      "applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}