Wigner-Ville distribution function in the framework of linear canonical transform

In this paper, we define the Wigner-Ville distribution function (WVDF) and corresponding Weyl operator in the linear canonical transform (LCT) domain. Further, we examine Moyle identity for the WVDF and investigate some of its properties. Moreover, we discuss the boundedness and compactness of Weyl operator on the Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{p}$$\end{document} space in the LCT domain.