On interpolation in Carathéodory hyperbolic domains
Abstract
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 bodies on Carathéodory hyperbolic domains as a Pick body on the open unit disc.
Fields of Study & Subjects
Holomorphic and Operator Theory
Analytic and geometric function theory
Advanced Banach Space Theory
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 31 January 2026
- Document type
- Preprint