A sharper uncertainty principle
A sharper uncertainty principle
复制标题
更尖锐的不确定性原理
DOI:
10.1016/j.jfa.2013.07.023
复制
发表时间:
2013-11-15
影响因子:
1.7
通讯作者:
Qian, Tao
中科院分区:
文献类型:
--
作者:
Dang, Pei;Deng, Guan-Tie;Qian, Tao
The work strengthens the result established by L. Cohen on uncertainty principle involving phase derivative. We propose stronger uncertainty principles not only in the classical setting for Fourier transform, but also for self-adjoint operators. We also deduce the conditions that give rise to the equal relation of the uncertainty principle. Examples are provided to show that the new uncertainty principle is truly sharper than the existing ones in literature. (C) 2013 Elsevier Inc. All rights reserved.