A Variation of uncertainty principles for the continuous wavelet transform connected with the Riemann-Liouville operator

被引：1

作者：

Hleili, Khaled ^{[1
,2
]}

机构：

[1] Northern Borders Univ, Fac Sci, Dept Math, Aran, Saudi Arabia

[2] Preparatory Inst Engn Studies Kairouan, Dept Math, Kairouan, Tunisia

来源：

AFRIKA MATEMATIKA | 2023年 / 34卷 / 04期

关键词：

Wavelet transform; Heisenberg's type inequality; Donoho-Stark's uncertainty principles; Local uncertainty principles; Pitt's inequality; Logarithmic uncertainty principle; INEQUALITIES; FOURIER;

D O I：

10.1007/s13370-023-01132-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to prove a generalization of uncertainty principles for the continuous wavelet transform connected with the Riemann-Liouville operator in L-p-norm. More precisely, we establish the Heisenberg-Pauli-Weyl uncertainty principle, Donoho-Stark's uncertainty principles and local Cowling-Price's type inequalities. Finally, Pitt's inequality and Beckner's uncertainty principle are proved for this transform.

引用

页数：19

共 35 条

[1] BECKNER LOGARITHMIC UNCERTAINTY PRINCIPLE FOR THE RIEMANN-LIOUVILLE OPERATOR [J].