1. CMB 2008 (vol 51 pp. 481)
|Universal Inner Functions on the Ball |
It is shown that given any sequence of automorphisms $(\phi_k)_k$ of the unit ball $\bn$ of $\cn$ such that $\|\phi_k(0)\|$ tends to $1$, there exists an inner function $I$ such that the family of ``non-Euclidean translates" $(I\circ\phi_k)_k$ is locally uniformly dense in the unit ball of $H^\infty(\bn)$.
Keywords:inner functions, automorphisms of the ball, universality
Categories:32A35, 30D50, 47B38