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Keywords:
Toeplitz operator; compression of slant Toeplitz operator; $n$-dimensional torus; Hardy space
Toeplitz operator; compression of slant Toeplitz operator; $n$-dimensional torus; Hardy space
Summary:
This paper studies the compression of a $k$th-order slant Toeplitz operator on the Hardy space $H^2(\mathbb {T}^n)$ for integers $k\ge 2$ and $n\ge 1$. It also provides a characterization of the compression of a $k$th-order slant Toeplitz operator on $H^2(\mathbb {T}^n)$. Finally, the paper highlights certain properties, namely isometry, eigenvalues, eigenvectors, spectrum and spectral radius of the compression of $k$th-order slant Toeplitz operator on the Hardy space $H^2(\mathbb {T}^n)$ of $n$-dimensional torus $\mathbb {T}^n$.
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