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math.CV2026
On interpolation in Carathéodory hyperbolic domains
Anindya Biswas
We study the relation between Pick bodies on Carathéodory hyperbolic domains and contractions on finite dimensional Hilbert spaces. We give a condition sufficient to realize Pick b…
math.CV2025
Schur-Agler class and Carathéodory extremal functions
Anindya Biswas
We study the role of Carathéodory extremal functions in the Schur-Agler class generated by a collection of test functions. We show that under certain conditions, and $…
math.CV2023
Pick interpolation and invariant functions
Anindya Biswas
In this article, we establish a connection between Pick bodies and invariant functions. We demonstrate that an invariant function can be associated with any Pick body, which determ…