{ "id": "1401.1949", "version": "v1", "published": "2014-01-09T10:44:49.000Z", "updated": "2014-01-09T10:44:49.000Z", "title": "Mean value property associated with the Dunkl Laplacian", "authors": [ "Kods Hassine" ], "comment": "10 pages", "categories": [ "math.CA", "math.AP" ], "abstract": "Let $\\Delta_k$ be the Dunkl Laplacian on $\\mathbb{R}^d$. The main goal of this paper is to characterize $\\Delta_k$-harmonic functions by means of a mean value property", "revisions": [ { "version": "v1", "updated": "2014-01-09T10:44:49.000Z" } ], "analyses": { "subjects": [ "31A05", "51F15", "42B99" ], "keywords": [ "mean value property", "dunkl laplacian", "main goal", "harmonic functions" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1401.1949H" } } }