English

On interpolation in Carath\'eodory hyperbolic domains

Complex Variables 2026-02-03 v1

Abstract

We study the relation between Pick bodies on Carath\'eodory hyperbolic domains and contractions on finite dimensional Hilbert spaces. We give a condition sufficient to realize Pick bodies on Carath\'eodory hyperbolic domains as a Pick body on the open unit disc.

Keywords

Cite

@article{arxiv.2602.00882,
  title  = {On interpolation in Carath\'eodory hyperbolic domains},
  author = {Anindya Biswas},
  journal= {arXiv preprint arXiv:2602.00882},
  year   = {2026}
}

Comments

9 pages

R2 v1 2026-07-01T09:29:41.286Z