Wavelet Transforms Associated With the Basic Bessel Operator
arXiv:math/0603036
Abstract
This paper aims to study the -wavelet and the -wavelet transforms, associated with the -Bessel operator for a fixed . As an application, an inversion formulas of the -Riemann-Liouville and -Weyl transforms using -wavelets are given. For this purpose, we shall attempt to extend the classical theory by giving their -analogues.
24 pages