4 papers
On the automorphisms of Pick bodies
Anindya Biswas
We determine the biholomorphic automorphisms of the Pick body associated with finitely many distinct points in a Carathéodory hyperbolic domain. Every automorphism is the compositi…
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…
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 $…
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…