Wavelet multiplier associated with the Watson transform

Abstract

In this paper, the Lp-boundedness, compactness and Hilbert–Schmidt class of wavelet multiplier associated with the Watson transform are investigated and its various properties studied. Landau–Pollak Slepian operator associated with the Watson transform is discussed as an application of wavelet multiplier. The relation between Watson wavelet multipliers and Sobolev space is given and trace class is introduced. © 2022, The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid.