The uncertainty principle: A mathematical survey

被引：627

作者：

Folland, GB ^{[1
]}

Sitaram, A ^{[1
]}

机构：

[1] INDIAN STAT INST, DIV MATH & STAT, BANGALORE 560059, KARNATAKA, INDIA

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 1997年 / 3卷 / 03期

关键词：

uncertainty principle; Fourier transform; Heisenberg's inequality; logarithmic inequalities; Wigner distribution; Landau-Pollak-Slepian theory; phase space;

D O I：

10.1007/BF02649110

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We survey various mathematical aspects of the uncertainty principle, including Heisenberg's inequality and its variants, local uncertainty inequalities, logarithmic uncertainty inequalities, results relating to Wigner distributions, qualitative uncertainty principles, theorems on approximate concentration, and decompositions of phase space.

引用

页码：207 / 238

页数：32

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