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
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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