Lacunary Fourier series and a qualitative uncertainty principle for compact Lie groups
Functional Analysis
2010-07-08 v1
Abstract
We define lacunary Fourier series on a compact connected semisimple Lie group . If has lacunary Fourier series, and vanishes on a non empty open set, then we prove that vanishes identically. This may be viewed as a qualitative uncertainty principle.
Keywords
Cite
@article{arxiv.1007.1027,
title = {Lacunary Fourier series and a qualitative uncertainty principle for compact Lie groups},
author = {E K Narayanan and A Sitaram},
journal= {arXiv preprint arXiv:1007.1027},
year = {2010}
}