Wavelet Transforms Associated With the Basic Bessel Operator

Details Wavelet Transforms Associated With the Basic Bessel Operator Wavelet Transforms Associated With the Basic Bessel Operator

2006-03-02

arxiv.org/abs/math/0603036v2

Mathematics

Quantum Algebra

24 pages

Scientific paper

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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