{
  "id": "1802.06303",
  "version": "v1",
  "published": "2018-02-17T22:21:03.000Z",
  "updated": "2018-02-17T22:21:03.000Z",
  "title": "Links between functions and subdifferentials",
  "authors": [
    "Marc Lassonde"
  ],
  "comment": "17 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "A function in a class $\\mathcal{F}(X)$ is said to be subdifferentially determined in $\\mathcal{F}(X)$ if it is equal up to an additive constant to any function in $\\mathcal{F}(X)$ with the same subdifferential. A function is said to be subdifferentially representable if it can be recovered from a subdifferential. We identify large classes of lower semicontinuous functions that possess these properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-17T22:21:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J52",
      "26A39",
      "26B25"
    ],
    "keywords": [
      "subdifferential",
      "lower semicontinuous functions",
      "identify large classes",
      "additive constant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}