Qualitative uncertainty principles for the windowed Opdam-Cherednik transform on weighted modulation spaces

被引：3

作者：

Mondal, Shyam Swarup ^{[1
]}

Poria, Anirudha ^{[2
]}

机构：

[1] Indian Inst Technol Guwahati, Dept Math, Gauhati, India

[2] Bar Ilan Univ, Dept Math, IL-5290002 Ramat Gan, Israel

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 16期

基金：

欧洲研究理事会;

关键词：

Cowling-Price's theorem; Hardy's theorem; Morgan's theorem; weighted modulation spaces; windowed Opdam-Cherednik transform; DUNKL OPERATOR; THEOREM;

D O I：

10.1002/mma.8376

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to establish a few qualitative uncertainty principles for the windowed Opdam-Cherednik transform on weighted modulation spaces associated with this transform. In particular, we obtain Cowling-Price's, Hardy's and Morgan's uncertainty principles for this transform on weighted modulation spaces. The proofs of the results are based on versions of the Phragmen-Lindlof type result for several complex variables on weighted modulation spaces and the properties of the Gaussian kernel associated with the Jacobi-Cherednik operator.

引用

页码：10424 / 10439

页数：16

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