Calderon's formulas and uncertainty principles for the Laguerre-Bessel Lα2-multiplier operators

被引：0

作者：

Chana, Ahmed ^{[1
]}

Akhlidj, Abdellatif ^{[1
]}

机构：

[1] Univ Hassan 2, Fac Sci Ain Chock, Dept Math & Informat, Lab Fundamental & Appl Math, BP 5366 Maarif, Casablanca, Morocco

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2024年

关键词：

Laguerre-Bessel transform; Calder & oacute; n's reproducing formulas; Heisenberg's uncertainty principle; Donoho-Stark's uncertainty principle;

D O I：

10.1080/10652469.2024.2382787

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to introduce the Laguerre-Bessel $ L-alpha(2)-multiplier operators and to give some results related to these operators as Plancherel's, Calderon's reproducing formulas and Heisenberg's, Donoho-Stark's uncertainty principles. Next, using the theory of reproducing kernels we give best estimates and an integral representation of the extremal functions related to this operators.

引用

页数：18

共 9 条

[1] Calderon's reproducing formulas for the Weinstein L2-multiplier operators
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ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (01)
[2] CALDERON'S REPRODUCING FORMULAS FOR THE SPHERICAL MEAN L-2-MULTIPLIER OPERATORS
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[6] L2-UNCERTAINTY PRINCIPLE FOR THE WEINSTEIN-MULTIPLIER OPERATORS
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[7] On a q-best approximation formulas for the L2-multiplier operators and applications
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RESEARCH IN MATHEMATICS, 2022, 9 (01): : 1 - 12
[8] Uncertainty principles for spherical mean L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document}-multiplier operators
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Journal of Pseudo-Differential Operators and Applications, 2018, 9 (3) : 573 - 587
[9] Calderón’s reproducing formulas and extremal functions for the Riemann–Liouville L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document}-multiplier operators
Khaled Hleili
Journal of Pseudo-Differential Operators and Applications, 2018, 9 (1) : 125 - 141

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