  Let $\beta_1,...,\beta_n$ be distinct points in the open unit disc in the
complex plane, none of which is the origin, and let $H^1$ be the Hardy space.
Define a closed convex set in $\mathbb{C}^{n}$ by $\Lambda = \{
(f(\beta_1),...,f(\beta_n)): f \in H^1, ||f||_1 \le 1 \}$. We characterize the
extreme and exposed points of $\Lambda$
