{
  "id": "1703.06455",
  "version": "v1",
  "published": "2017-03-19T15:47:48.000Z",
  "updated": "2017-03-19T15:47:48.000Z",
  "title": "Valuations on Convex Functions",
  "authors": [
    "Andrea Colesanti",
    "Monika Ludwig",
    "Fabian Mussnig"
  ],
  "categories": [
    "math.FA",
    "math.MG"
  ],
  "abstract": "All continuous, SL$(n)$ and translation invariant valuations on the space of convex functions on ${\\mathbb R}^n$ are completely classified.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-19T15:47:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "convex functions",
      "translation invariant valuations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}