{
  "id": "2109.09434",
  "version": "v1",
  "published": "2021-09-20T11:32:34.000Z",
  "updated": "2021-09-20T11:32:34.000Z",
  "title": "The Hadwiger theorem on convex functions. II",
  "authors": [
    "Andrea Colesanti",
    "Monika Ludwig",
    "Fabian Mussnig"
  ],
  "categories": [
    "math.FA",
    "math.MG"
  ],
  "abstract": "A new version of the Hadwiger theorem on convex functions is established and an explicit representation of functional intrinsic volumes is found using new functional Cauchy-Kubota formulas. In addition, connections between functional intrinsic volumes and their classical counterparts are obtained and non-negative valuations are classified.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-20T11:32:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B45",
      "26B25",
      "49Q20",
      "52A41",
      "52A39"
    ],
    "keywords": [
      "convex functions",
      "hadwiger theorem",
      "functional intrinsic volumes",
      "functional cauchy-kubota formulas",
      "explicit representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}