UNCERTAINTY PRINCIPLES FOR THE q-HANKEL-STOCKWELL TRANSFORM

被引：0
|
作者：
Brahim, Kamel [1 ,2 ]
Ben Elmonser, Hedi [3 ,4 ]
机构：
[1] Univ Bisha, Coll Sci, Dept Math, Bisha, Saudi Arabia
[2] Univ Tunis El Manar, Fac Sci Tunis, Tunis, Tunisia
[3] Majmaah Univ, Coll Sci Al Zul, Dept Math, Al Majmaah 11952, Saudi Arabia
[4] Natl Inst Technol & Appl Sci, Dept Math, Tunis, Tunisia
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2023年 / 75卷 / 7期
关键词：
FOURIER;
D O I：
10.1007/s11253-023-02244-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the q-Jackson integral and some elements of the q-harmonic analysis associated with the q-Hankel transform, we introduce and study a q-analog of the Hankel-Stockwell transform. We present some properties from harmonic analysis (Plancherel formula, inversion formula, reproducing kernel, etc.). Furthermore, we establish a version of Heisenberg's uncertainty principles. Finally, we study the q-Hankel-Stockwell transform on a subset of finite measure.
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页码：1016 / 1033
页数：18
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