Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem

We introduce a Schur-Agler type class associated with the tetrablock and establish a realization theorem for this class. Furthermore, we provide a tetrablock analog of the interpolation theorem, extension theorem, and the Toeplitz corona theorem.

Publication Details

Journal
ArXiv.org
Published
2025-05-29
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem

ArXiv.org
Holomorphic and Operator Theory
article

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem

article en

Abstract

We introduce a Schur-Agler type class associated with the tetrablock and establish a realization theorem for this class. Furthermore, we provide a tetrablock analog of the interpolation theorem, extension theorem, and the Toeplitz corona theorem.

ArXiv.org
Department of Science and Technology, Ministry of Science and Technology, India, Science and Engineering Research Board
Openalex Percentile: Top 38%
Holomorphic and Operator Theory
Open Access PDFOpenAlex
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Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem · ArXiv.org (2025) | TGRS Research Map | TGRS