Uncertainty principles for orthonormal bases
经典分析与常微分方程
2007-05-23 v1
摘要
In this survey, we present various forms of the uncertainty principle (Hardy, Heisenberg, Benedicks). We further give a new interpretation of the uncertainty principles as a statement about the time-frequency localization of elements of an orthonormal basis, which improves previous unpublished results of H. Shapiro. Finally, we show that Benedicks' result implies that solutions of the Shr\"{o}dinger equation have some (appearently unnoticed) energy dissipation property.
引用
@article{arxiv.math/0606396,
title = {Uncertainty principles for orthonormal bases},
author = {Philippe Jaming},
journal= {arXiv preprint arXiv:math/0606396},
year = {2007}
}