On Embedding problem of linear fractional maps on the unit ball of $\mathbb{C}^{N}$

Ren-Yu Chen, Ze-Hua Zhou

Published 2010-08-16, updated 2014-08-31Version 3

This paper focuses on the embedding problem of linear fractional maps which explains when a linear fractional self-map of $B_{N}$ can be a member of a semigroup of holomorphic self-maps on the unit ball $B_{N}$ of the complex $N$-dimensional Euclidean space $\mathbb{C}^{N}$.