Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem
Functional Analysis
2025-08-28 v2 Complex Variables
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.
Cite
@article{arxiv.2505.23492,
title = {Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem},
author = {Shubham Jain and Surjit Kumar and Milan Kumar Mal and Paramita Pramanick},
journal= {arXiv preprint arXiv:2505.23492},
year = {2025}
}
Comments
Thoroughly revised