Clark measures on the complex sphere

Aleksei B. Aleksandrov, Evgueni Doubtsov

Let $B_d$ denote the unit ball of ${\mathbb{C}}^d$, $d\ge 1$. Given a holomorphic function $\phi :B_d\to B_1$, we study the corresponding family ${\sigma }_{\alpha }[\phi ]$, $\alpha \in \partial B_1$, of Clark…