Some results related to the Logvinenko-Sereda theorem
Classical Analysis and ODEs
2007-05-23 v1 Analysis of PDEs
Abstract
We prove several results related to the theorem of Logvinenko and Sereda on determining sets for functions with Fourier transforms supported in an interval. We obtain a polynomial instead of exponential bound in this theorem, and we extend it to the case of functions with Fourier transforms supported in the union of a bounded number of intervals. The same results hold in all dimensions.
Cite
@article{arxiv.math/0012186,
title = {Some results related to the Logvinenko-Sereda theorem},
author = {Oleg Kovrizhkin},
journal= {arXiv preprint arXiv:math/0012186},
year = {2007}
}
Comments
to appear in PAMS