Multivariate Analogue of Slant Toeplitz Operators

This paper discusses several structural and fundamental properties of the $k^{th}$-order slant Toeplitz operators on Lebesgue space $n$- torus $\mathbb{T}^n$, for integers $k\geq 2$ $n\geq 1$. We obtain certain equivalent conditions commutativity essential these operators. In last section, we deal with spectrum a operator $L^2(\mathbb{T}^n)$ investigate such an to be isometry, hyponormal or normal.