Slant Hankel Operators of Multivariate Order

We introduce a k th-order slant Hankel operator on the Lebesgue space of n -torus, for k = ( k 1 , … , k n ) , where each k t ≥ 1 , ( 1 ≤ t ≤ n ) is an integer. Our main result is to obtain equivalent characterizations for a bounded operator on L 2 ( T n ) to be a k th-order slant Hankel operator. W...

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2023-02, Vol.20 (1), Article 8
Main Authors: Datt, Gopal, Gupta, Bhawna Bansal
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Operators
Toruses
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Summary:We introduce a k th-order slant Hankel operator on the Lebesgue space of n -torus, for k = ( k 1 , … , k n ) , where each k t ≥ 1 , ( 1 ≤ t ≤ n ) is an integer. Our main result is to obtain equivalent characterizations for a bounded operator on L 2 ( T n ) to be a k th-order slant Hankel operator. We also discuss various commutative, spectral and other properties of these operators.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-022-02211-2