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arXiv:0704.3232 [math.AP]AbstractReferencesReviewsResources

Characterization of polynomials

V. E. S. Szabo

Published 2007-04-24, updated 2014-07-22Version 2

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.

Comments: 5 pages
Journal: Analysis and Applications (Vol. 11, No. 02, March 2013)
Categories: math.AP, math.FA
Subjects: 35D99, 46F05
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