Clark measures and de Branges-Rovnyak spaces in several variables

Aleksei B. Aleksandrov, Evgueni Doubtsov

Let $B_n$ denote the unit ball of ${\mathbb{C}}^n$, $n\ge 1$, and let $\mathcal{D}$ denote a finite product of $B_{n_j}$, $j\ge 1$. Given a non-constant holomorphic function $b: \mat…