Abstract
We introduce a \({\textbf{k}}\)th-order slant Hankel operator on the Lebesgue space of n-torus, for \({\textbf{k}} = (k_1,\ldots ,k_n)\), where each \(k_t \ge 1, ~ (1 \le t \le n)\) is an integer. Our main result is to obtain equivalent characterizations for a bounded operator on \(L^2({\mathbb {T}}^n)\) to be a \({\textbf{k}}\)th-order slant Hankel operator. We also discuss various commutative, spectral and other properties of these operators.
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Gopal Datt and Bhawna Bansal Gupta wrote the main manuscript text and reviewed it.
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Datt, G., Gupta, B.B. Slant Hankel Operators of Multivariate Order. Mediterr. J. Math. 20, 8 (2023). https://doi.org/10.1007/s00009-022-02211-2
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DOI: https://doi.org/10.1007/s00009-022-02211-2