Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1320

 Title: Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets Authors: Fitouhi, AhmedBettaibi, NéjiBinous, Wafa Keywords: q-Bessel Operatorq-Waveletq-Riemann-Liou-Villeq-Weyl Operators42A3842C4033D1533D60 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 URI: http://hdl.handle.net/10525/1320 ISSN: 1311-0454 Appears in Collections: 2007

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