Wavelet Transforms Associated With the Basic Bessel Operator
Ahmed Fitouhi, Neji Bettaibi, Wafa Binous
Abstract
This paper aims to study the q-wavelet and the q-wavelet transforms, associated with the q-Bessel operator for a fixed q∈ ]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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