The localization operator and wavelet multipliers involving the Watson transform

Abstract

In this article, we investigate the characterizations of some localization operators which are associated with the integral representation of a locally compact group. Furthermore, with the help of the Watson transform, we find their relationship with wavelet multipliers. We also discuss the trace class and the Schatten-von Neumann property of the localization operators which we have investigated here. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.