3 papers
math.CV2026
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.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…
math.CV2025
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…