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Displaying similar documents to “On extension of Gabor transform to Boehmians”

On the Range of the Fourier Transform Associated with the Spherical Mean Operator

Jelassi, M., Rachdi, L. (2004)

Fractional Calculus and Applied Analysis

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We characterize the range of some spaces of functions by the Fourier transform associated with the spherical mean operator R and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schawrtz theorems.

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...