Uncertainty Principles for the q-Hankel–Stockwell Transform

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2023-11-28 DOI:10.1007/s11253-023-02244-0

Kamel Brahim, Hédi Ben Elmonser

引用次数: 0

Abstract

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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q-Hankel-Stockwell变换的不确定性原理

利用q-Jackson积分和与q-Hankel变换相关的q-harmonic分析的一些元素，引入并研究了Hankel-Stockwell变换的q-类比。给出了谐波分析的一些性质(Plancherel公式、反演公式、再现核等)。此外，我们建立了海森堡测不准原理的一个版本。最后，研究了有限测度子集上的q-Hankel-Stockwell变换。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.