Quantitative uncertainty principles associated with the directional short-time Fourier transform

被引：1

作者：

Mejjaoli, Hatem ^{[1
]}

Omri, Slim ^{[2
]}

机构：

[1] Taibah Univ, Dept Math, Coll Sci, POB 30002, Al Madinah Al Munawarah, Saudi Arabia

[2] Univ El Manar, Fac Sci Tunis, Dept Math, Tunis, Tunisia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2021年 / 32卷 / 10期

关键词：

Directional short-time Fourier transform; directional radar ambiguity function; inversion theorem; Heisenberg' s type uncertainty principles; local uncertainty principles; INEQUALITIES;

D O I：

10.1080/10652469.2020.1843166

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the directional short-time Fourier transform for which we prove a new inversion formula. We also prove for this transform several uncertainty principles as Heisenberg inequalities, Faris-Price uncertainty principles and local uncertainty principles.

引用

页码：753 / 779

页数：27

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