Matrix-valued regular functions of a quaternionic variable - a decomposition and some approximation results

A quaternionic matrix-valued regular function is a map $F: Ω\rightarrow M_n(\mathbb{H})$ whose entries are (left) regular functions of a quaternion variable, where $Ω$ is a domain in $\mathbb{H}$. Given any $n \times n$ matrix-valued regular function $F(q)$ over $\mathbb{H}$ having norm at most $1$,