DIRECTIONAL HEISENBERG UNCERTAINTY PRODUCT

被引：0

作者：

Krivoshein, A. ^{[1
]}

Lebedeva, E. ^{[1
]}

Neiman, E. ^{[2
]}

Prestin, J. ^{[3
]}

机构：

[1] St Petersburg State Univ, St Petersburg, Russia

[2] Donetsk Natl Univ, Donetsk, Ukraine

[3] Univ Lubeck, Lubeck, Germany

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2019年 / 22卷 / 01期

关键词：

Time-frequency localization; uncertainty product; multivariate functions; PRINCIPLES;

D O I：

10.7153/mia-2019-22-28

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A directional time-frequency localization measure for functions defined on the d - dimensional Euclidean space is introduced. A connection between this measure and its periodic counterpart is established. For a class of functions, an optimization problem for finding the optimal direction, along which a function is best or worst localized, is solved.

引用

页码：377 / 399

页数：23

共 8 条

[1]

DEBRUIJN NG, 1967, INEQUALITIES, P55

[2]

FOLLAND GB, 1989, ANN MATH STUDIES

[3] Uncertainty principles and asymptotic behavior [J].