Characterization of polynomials

Details Characterization of polynomials Characterization of polynomials

2007-04-24

arxiv.org/abs/0704.3232v1

Mathematics

Analysis of PDEs

5 pages

Scientific paper

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.

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