Lp Boundedness and compactness of localization operators associated with the k-Hankel wavelet transform on Rd

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 the theory of the localization operators is both theoretically interesting and practically useful, we investigate this theory for the k-HWT. Firstly, we study the L-p boundedness governing the simultaneous localization of a signal and the corresponding k-HWT. Secondly, we investigate the L-p compactness of localization operators associated with the k-HWT. We culminate our study by formulating several typical examples of localization operators associated with the k-HWT.