English

Finite Blaschke products: a survey

Complex Variables 2021-02-05 v2

Abstract

A finite Blaschke product is a product of finitely many automorphisms of the unit disk. This brief survey covers some of the main topics in the area, including characterizations of finite Blaschke products, approximation theorems, derivatives and residues of finite Blaschke products, geometric localization of zeros, and selected other topics.

Keywords

Cite

@article{arxiv.1512.05444,
  title  = {Finite Blaschke products: a survey},
  author = {Stephan Ramon Garcia and Javad Mashreghi and William T. Ross},
  journal= {arXiv preprint arXiv:1512.05444},
  year   = {2021}
}

Comments

30 pages

R2 v1 2026-06-22T12:11:58.626Z