Displaying similar documents to “Wavelet packets on locally compact abelian groups.”

Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets

Fitouhi, Ahmed, Bettaibi, Néji, Binous, Wafa (2007)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 42A38, 42C40, 33D15, 33D60 This paper aims to study the q-wavelets and the continuous q-wavelet transforms, associated with the q-Bessel operator for a fixed q ∈]0, 1[. Using the q-Riemann-Liouville and the q-Weyl transforms, we give some relations between the continuous q-wavelet transform, studied in [3], and the continuous q-wavelet transform associated with the q-Bessel operator, and we deduce formulas which give the inverse operators...