Wavelet transforms in quantum calculus

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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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APA

Fitouhi, A., & Bettaibi, N. (2006). Wavelet transforms in quantum calculus. Journal of Nonlinear Mathematical Physics, 13(4), 492–506. https://doi.org/10.2991/jnmp.2006.13.4.4

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