Characterization of polynomials
Analysis of PDEs
2014-07-23 v2 Functional Analysis
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.
Cite
@article{arxiv.0704.3232,
title = {Characterization of polynomials},
author = {V. E. S. Szabo},
journal= {arXiv preprint arXiv:0704.3232},
year = {2014}
}