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

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 ${\mathbb{C}}^N$.