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

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2505.23492

Authors: Jain, Shubham, Kumar, Surjit, Mal, Milan Kumar, Pramanick, Paramita

Institutions: Indian Institute of Technology Madras, Indian Statistical Institute

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Science and Engineering Research Board

OpenAlex ID: W6929530573

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