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Wavelet Transforms in Quantum Calculus
Journal article   Peer reviewed

Wavelet Transforms in Quantum Calculus

Ahmed Fitouhi and Néji Bettaibi
Journal of nonlinear mathematical physics, Vol.13(4), pp.492-506
2006

Abstract

This paper aims to study the q-wavelets and the q-wavelet transforms, using only the q-Jackson integrals and the q-cosine Fourier transform, for a fix q ∈]0, 1[. For this purpose, we shall attempt to extend the classical theory by giving their q-analogues.

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