q-Hankel-Stockwell变换的不确定性原理

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

Kamel Brahim, Hédi Ben Elmonser

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引用次数: 0

摘要

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。

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Uncertainty Principles for the q-Hankel–Stockwell Transform

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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