Time-Frequency Analysis of Gabor Multipliers Associated with the Multidimensional Hankel-Stockwell Transform

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：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2025年 / 46卷 / 07期

关键词：

Gabor multipliers; multidimensional Bessel operator; Stockwell transform; trace class operators; LOCALIZATION;

D O I：

10.1080/01630563.2025.2482568

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main crux of this paper is to introduce a new integral transform called the multidimensional Hankel-Stockwell transform and to give some new results related to this transform as generalized Parseval's, Plancherel's, inversion and Calderon's reproducing formulas. Next, we introduce a new pseudo-differential operator L psi 1,psi 2(sigma) related to this transform called Gabor multipliers which depend on a symbol sigma and two functions psi 1 and psi 2, we give a criteria in terms of the symbol sigma for its boundedness and compactness, we also show that this operator is a trace class operator and we give its trace formula.

引用

页码：485 / 504

页数：20