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Wavelet Transforms Associated With the Basic Bessel Operator

Ahmed Fitouhi·Neji Bettaibi·Wafa Binous
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Abstract

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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BibTeXRIS

Ahmed Fitouhi, Neji Bettaibi, Wafa Binous. 2006-05-08. Wavelet Transforms Associated With the Basic Bessel Operator. https://arxiv.org/abs/math/0603036

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