English

On the uniqueness of classical semiconjugations for self-maps of the disk

Complex Variables 2007-05-23 v1

Abstract

We study the uniqueness properties of classical semiconjugations for analytic self-maps of the disk, by characterizing them as canonical solutions to certain functional equations. As a corollary, we obtain a complete description of all possible solutions to such equations.

Keywords

Cite

@article{arxiv.math/0511584,
  title  = {On the uniqueness of classical semiconjugations for self-maps of the disk},
  author = {Pietro Poggi-Corradini},
  journal= {arXiv preprint arXiv:math/0511584},
  year   = {2007}
}

Comments

18 pages