Finite Blaschke Products and Decomposition

Abstract

Let $B(z)$ be a finite Blaschke product of degree $n$. We consider the problem when a finite Blaschke product can be written as a composition of two nontrivial Blaschke products of lower degree related to the condition where $M$ is a Möbius transformation from the unit disk onto itself.

arXiv comment16 pages, 1 Figure