Abstract
The k-Hankel wavelet transform (k-HWT) is a novel addition to the class of wavelet transforms, which has gained a respectable status in the realm of time-frequency signal analysis within a short span of time. Knowing the fact that the study of uncertainty principles is both theoretically interesting and practically useful, we formulate several qualitative uncertainty principles for the k-Hankel wavelet transform. First, we formulate the Heisenberg's uncertainty principle governing the simultaneous localization of a signal and the corresponding k-HWT via three approaches: L-2 -type, L-p-type, and k-entropy based. Second, we derive some weighted uncertainty inequalities such as the Pitt's and Beckner's uncertainty inequalities for the k-HWT. We culminate our study by formulating several concentration-based uncertainty principles, including the Amrein-Berthier-Benedicks's and local inequalities for the k-Hankel wavelet transform.