Wavelet Transforms Associated With the Basic Bessel Operator

2006/03/02 by Ahmed Fitouhi, Fitouhi, Ahmed, Neji Bettaibi +3
Mathematics · Physics and Astronomy · #33C15 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA #msc:33C15

paper · pdf · doi:10.48550/arxiv.math/0603036

24 pages

arxiv created 2006/05/08 · arxiv updated 2009/12/01

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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