Compression of Slant Toeplitz Operators on the Hardy Space of n-Dimensional Torus

This paper studies the compression of a kth-order slant Toeplitz operator on the Hardy space H2(Tn)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${H^2}\left({\mathbb{T}{^n}} \right)$$\end{document} for integers k ⩾ 2 and n ⩾ 1. It also provides a characterization of the compression of a kth-order slant Toeplitz operator on H2(Tn)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${H^2}\left({\mathbb{T}{^n}} \right)$$\end{document}. Finally, the paper highlights certain properties, namely isometry, eigenvalues, eigenvectors, spectrum and spectral radius of the compression of kth-order slant Toeplitz operator on the Hardy space H2(Tn)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${H^2}\left({\mathbb{T}{^n}} \right)$$\end{document} of n-dimensional torus Tn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{T}{^n}$$\end{document}.