Uncertainty principles in Hilbert spaces

被引：0
|
作者：
Goh S.S. [1 ]
Micchelli C.A. [1 ]
机构：
[1] Department of Mathematics, National University of Singapore, Singapore 119260
来源：
Journal of Fourier Analysis and Applications | 2002年 / 8卷 / 4期
关键词：
Commutator; Hilbert space; Uncertainty inequalities;
D O I：
10.1007/s00041-002-0017-2
中图分类号：
学科分类号：
摘要：
In this article we provide several generalizations of inequalities bounding the commutator of two linear operators acting on a Hilbert space which relate to the Heisenberg uncertainty principle and time/frequency analysis of periodic functions. We develop conditions that ensure these inequalities are sharp and apply our results to concrete examples of importance in the literature.
引用
收藏
页码：335 / 373
页数：38
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