Wavelet Transform Associated with the Q-Dunkl Operator (Report‪)‬

1. Introduction In (11, 12), R. L. Rubin constructed a [q.sup.2]-analogue Fourier analysis associated with a [q.sup.2]-analogue differential operator [[partial derivative].sub.q]. Using this q-harmonic analysis, the authors studied in (4) the q-wavelets and the continuous q-wavelet transforms associated with the operator [[partial derivative].sub.q].