Wavelet Transforms Associated With the Basic Bessel Operator

Wavelet Transforms Associated With the Basic Bessel Operator

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 t...

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Hauptverfasser: Fitouhi, Ahmed, Bettaibi, Neji, Binous, Wafa
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Mathematical Physics
Mathematics - Quantum Algebra
Physics - Mathematical Physics
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Zusammenfassung: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.
DOI:10.48550/arxiv.math/0603036