paper

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

Wavelet Transforms Associated With the Basic Bessel Operator · wovepaper