与基本Bessel算子相关的小波变换
Wavelet Transforms Associated With the Basic Bessel Operator
摘要：
本文研究了固定$q\in ]0, 1[$的$q$ -小波和与$q$ -Bessel算子相关的$q$ -小波变换.作为应用，给出了$q$ -Riemann-Liouville和$q$ -Weyl变换的$q$ -小波反演公式。为此，我们将试图通过给出它们的$q$ -类似物来扩展经典理论。
英文摘要：
This paper aims to study the $q$-wavelet and the $q$-wavelet transforms, associated with the $q$-Bessel operator for a fixed $q\in ]0, 1[$. As an application, an inversion formulas of the $q$-Riemann-Liouville and $q$-Weyl transforms using $q$-wavelets are given. For this purpose, we shall attempt to extend the classical theory by giving their $q$-analogues.
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