The Continuous Wavelet Transform for a q-Bessel Type Operator

Abstract

In this paper, we consider a differential operator on - By accomplishing harmonic analysis tools with respect to the operator we study some definitions and properties of q-Bessel continuous wavelet transform. We also explore generalized q-Bessel Fourier transform and convolution product on associated with the operator and finally a new continuous wavelet transform associated with q-Bessel operator is constructed and investigated.