Rationalized Toeplitz Hankel operators on the space of Torus L<sup>2</sup>(T<sup>n</sup>)

In this paper we introduce the class of Rationalized Toeplitz Hankel operators on the space L2(Tn), T being the unit circle in complex plane and L2(Tn) is the space of Lebesgue square integrable functions on Tn. We also introduce the Rationalized Toeplitz Hankel matrix of level n and give the characterization of Rationalized Toeplitz Hankel Operator. J. Bangladesh Math. Soc. 44.2 (2024) 039–046

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Publication Details

Journal
GANIT Journal of Bangladesh Mathematical Society
Published
2024-12-29
DOI
https://doi.org/10.3329/ganit.v44i2.78531
Primary Topic
Holomorphic and Operator Theory
Type
article
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article

Rationalized Toeplitz Hankel operators on the space of Torus L2(Tn)

Ruchika Batra
GANIT Journal of Bangladesh Mathematical Society
Holomorphic and Operator Theory
article

Rationalized Toeplitz Hankel operators on the space of Torus L2(Tn)

Ruchika Batra
article en

Abstract

In this paper we introduce the class of Rationalized Toeplitz Hankel operators on the space L2(Tn), T being the unit circle in complex plane and L2(Tn) is the space of Lebesgue square integrable functions on Tn. We also introduce the Rationalized Toeplitz Hankel matrix of level n and give the characterization of Rationalized Toeplitz Hankel Operator. J. Bangladesh Math. Soc. 44.2 (2024) 039–046

GANIT Journal of Bangladesh Mathematical SocietyVol. 44(2)
University of Delhi (IN)
Openalex Percentile: Top 60%
Holomorphic and Operator Theory
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Rationalized Toeplitz Hankel operators on the space of Torus L<sup>2</sup>(T<sup>n</sup>) — Ruchika Batra · GANIT Journal of Bangladesh Mathematical Society (2024) | TGRS Research Map | TGRS