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.
