{ "id": "0704.3232", "version": "v2", "published": "2007-04-24T16:22:40.000Z", "updated": "2014-07-22T17:28:14.000Z", "title": "Characterization of polynomials", "authors": [ "V. E. S. Szabo" ], "comment": "5 pages", "journal": "Analysis and Applications (Vol. 11, No. 02, March 2013)", "doi": "10.1142/S0219530513500152", "categories": [ "math.AP", "math.FA" ], "abstract": "In 1954 it was proved if f is infinitely differentiable in the interval I and some derivative (of order depending on x) vanishes at each x, then f is a polynomial. Later it was generalized for multi-variable case. In this paper we give an extension for distributions.", "revisions": [ { "version": "v2", "updated": "2014-07-22T17:28:14.000Z" } ], "analyses": { "subjects": [ "35D99", "46F05" ], "keywords": [ "polynomial", "characterization" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0704.3232S" } } }