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Title: Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets
Authors: Fitouhi, Ahmed
Bettaibi, Néji
Binous, Wafa
Keywords: q-Bessel Operator
q-Weyl Operators
Issue Date: 2007
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Fractional Calculus and Applied Analysis, Vol. 10, No 4, (2007), 327p-342p
Abstract: 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 of the q-Riemann-Liouville and the q-Weyl transforms.
Description: Mathematics Subject Classification: 42A38, 42C40, 33D15, 33D60
ISSN: 1311-0454
Appears in Collections:2007

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