English

Determining sets for holomorphic functions on the symmetrized bidisk

Complex Variables 2022-08-15 v1

Abstract

This paper studies the determining sets for analytic functions from the symmetrized bidisk into the open unit disk in C\mathbb C. It relates the idea to the uniqueness of the solutions of a Nevanlinna-Pick interpolation problem. It also investigates when certain thin sets can be determining.

Keywords

Cite

@article{arxiv.2208.06229,
  title  = {Determining sets for holomorphic functions on the symmetrized bidisk},
  author = {B. Krishna Das and P. Kumar and H. Sau},
  journal= {arXiv preprint arXiv:2208.06229},
  year   = {2022}
}
R2 v1 2026-06-25T01:39:52.435Z