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

页码：335 / 373

页数：38

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