PITTS INEQUALITY AND THE UNCERTAINTY PRINCIPLE

被引：202

作者：

BECKNER, W

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 06期

关键词：

D O I：

10.2307/2161009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The ''uncertainty principle'' is formulated using logarithmic estimates obtained from a sharp form of Pitt's inequality. The qualitative nature of this result underlies the relations connecting entropy, the Hardy-Littlewood-Sobolev inequality, and the logarithmic Sobolev inequality.

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页码：1897 / 1905

页数：9

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