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Wavelet Transforms Associated With the Basic Bessel Operator

Quantum Algebra 2007-05-23 v2 Mathematical Physics math.MP

Abstract

This paper aims to study the qq-wavelet and the qq-wavelet transforms, associated with the qq-Bessel operator for a fixed q]0,1[q\in ]0, 1[. As an application, an inversion formulas of the qq-Riemann-Liouville and qq-Weyl transforms using qq-wavelets are given. For this purpose, we shall attempt to extend the classical theory by giving their qq-analogues.

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Cite

@article{arxiv.math/0603036,
  title  = {Wavelet Transforms Associated With the Basic Bessel Operator},
  author = {Ahmed Fitouhi and Neji Bettaibi and Wafa Binous},
  journal= {arXiv preprint arXiv:math/0603036},
  year   = {2007}
}

Comments

24 pages