The composition of generalized wavelet transform and wave packet transform in terms of generalized Kontorovich-Lebedev transform

In this paper, study related to the composition of generalized continuous wavelet transform (GCWT) defined in the frame of generalized Kontorovich-Lebedev transform (GKLT) has been discussed. Parseval relation for it has been obtained. Further, generalized wave packet transform (WPT) for the generalized Kontorovich-Lebedev transform (GKLT) has been defined and related study like establishment of the Parseval relation and re-construction formula have been done.