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arXiv · 0704.3232

Characterization of polynomials

V. E. S. Szabo
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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.

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V. E. S. Szabo. 2014-07-22. Characterization of polynomials. https://doi.org/10.1142/s0219530513500152

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