{
  "id": "2303.15408",
  "version": "v1",
  "published": "2023-03-27T17:26:05.000Z",
  "updated": "2023-03-27T17:26:05.000Z",
  "title": "Characterisation of harmonic functions via quadrature identities on annular domains",
  "authors": [
    "Nikolay Kuznetsov"
  ],
  "comment": "6 pages, no figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "A new characterization of harmonic functions is obtained. It is based on quadrature identities involving mean values over annular domains and over concentric spheres lying within these domains or on their boundaries. The analogous result with weighted volume means instead of usual ones is conjectured.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-27T17:26:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "annular domains",
      "quadrature identities",
      "harmonic functions",
      "characterisation",
      "mean values"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}