INEQUALITIES IN TIME-FREQUENCY ANALYSIS

被引：0

作者：

Ghobber, Saifallah ^{[1
]}

Omri, Slim ^{[2
]}

Oueslati, Ons ^{[2
]}

机构：

[1] King Faisal Univ, Stat Coll Sci, Dept Math, POB 400, Al Hasa 31982, Saudi Arabia

[2] Tunis Univ Tunis El Manar, Fac Sci, Tunis 2092, Tunisia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2023年 / 26卷 / 02期

关键词：

Time-frequency analysis; short-time Fourier transform; Nash's inequality; Pitt's inequality; Beckner's inequality; Sobolev inequality; uncertainty principles; UNCERTAINTY PRINCIPLES; PITTS INEQUALITY; FOURIER-TRANSFORM;

D O I：

10.7153/mia-2023-26-25

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Different types of Nash inequaliy, Sobolev inequality, Pitt inequality, logarithmic Sobolev inequality and Gross inequality are proved for the short time Fourier transform. Also, several formulations of Beckner's logarithmic uncertainty principle are established for the same transform.

引用

页码：377 / 400

页数：24

共 33 条

[1] SUPPORT PROPERTIES OF LP-FUNCTIONS AND THEIR FOURIER-TRANSFORMS [J].