The Uncertainty Principle for relatively dense sets and lacunary spectra
Classical Analysis and ODEs
2007-05-23 v1
Abstract
We obtain a new version of the Uncertainty Principle for functions with Fourier transforms supported on a lacunary set of intervals. This is a generalization of Zygmund's theorem on lacunary trigonometric series to the real line in the spirit of the Logvinenko-Sereda theorem for relatively dense sets.
Keywords
Cite
@article{arxiv.math/0212129,
title = {The Uncertainty Principle for relatively dense sets and lacunary spectra},
author = {O. Kovrizhkin},
journal= {arXiv preprint arXiv:math/0212129},
year = {2007}
}