2 M ar 2 00 6 WAVELET TRANSFORMS ASSOCIATED WITH THE BASIC BESSEL OPERATOR
نویسنده
چکیده
This paper aims to study the q-wavelet and the q-wavelet transforms, associated with the q-Bessel operator for a fix q ∈]0, 1[. As application, an inversion formulas of the q-Riemann-Liouville and q-Weyl transforms using q-wavelets are given. For this purpose, we shall attempt to extend the classical theory by giving their q-analogues.
منابع مشابه
ar X iv : m at h / 06 03 03 6 v 2 [ m at h . Q A ] 8 M ay 2 00 6 WAVELET TRANSFORMS ASSOCIATED WITH THE BASIC BESSEL OPERATOR
This paper aims to study the q-wavelet and the q-wavelet transforms, associated with the q-Bessel operator for a fixed q ∈]0, 1[. As an application, an inversion formulas of the q-Riemann-Liouville and q-Weyl transforms using qwavelets are given. For this purpose, we shall attempt to extend the classical theory by giving their q-analogues.
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