{ "id": "1506.04921", "version": "v1", "published": "2015-06-16T11:15:49.000Z", "updated": "2015-06-16T11:15:49.000Z", "title": "The uncertainty principle in Clifford analysis", "authors": [ "Jamel El Kamel", "Rim Jday" ], "comment": "11 pages", "categories": [ "math.CA" ], "abstract": "In this paper, we provide the Heisenberg's inequality and the Hardy's theorem for the Clifford-Fourier transform on $\\mathbb{R}^m$.", "revisions": [ { "version": "v1", "updated": "2015-06-16T11:15:49.000Z" } ], "analyses": { "subjects": [ "42B10", "30G35" ], "keywords": [ "clifford analysis", "uncertainty principle", "clifford-fourier transform", "hardys theorem" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150604921E" } } }