k^{th} order Slant Hankel Operators on the Polydisk

In this paper, we initiate the notion of k^{th} order slant Hankel operators on L^2(T^n) for k greater than or equal to 2 and n greater than or equal to 1 where T^n denotes the n-torus. We give the necessary and sufficient condition for a bounded operator on L^2(T^n) to be a k^{th} order slant Hanke...

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Bibliographic Details
Published inarXiv.org
Main Authors Singh, M P, Oinam Nilbir Singh
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 18.02.2022
Subjects
Mathematics - Functional Analysis
Mathematics - Operator Algebras
Operators
Toruses
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Summary:In this paper, we initiate the notion of k^{th} order slant Hankel operators on L^2(T^n) for k greater than or equal to 2 and n greater than or equal to 1 where T^n denotes the n-torus. We give the necessary and sufficient condition for a bounded operator on L^2(T^n) to be a k^{th} order slant Hankel and discuss their commutative, compactness, hyponormal and isometric property.
ISSN:2331-8422
DOI:10.48550/arxiv.2202.09366