On the gaps between zeros of trigonometric polynomials
Classical Analysis and ODEs
2007-05-23 v1
Abstract
We show that for every finite symetric set S of integer vectors, every real trigonometric polynomial on the d dimensional torus with spectrum in S has a zero in every closed ball of diameter D, where D is the sum over S of 1 over 4 times the L2 norm of the vector. We investigate tightness in some special cases.
Keywords
Cite
@article{arxiv.math/0601021,
title = {On the gaps between zeros of trigonometric polynomials},
author = {Gady Kozma and Ferenc Oravecz},
journal= {arXiv preprint arXiv:math/0601021},
year = {2007}
}
Comments
7 pages