Bounded analytic functions on unbounded covering surfaces
Shigeo Segawa · Pacific Journal of Mathematics · 1978
SHIGEO SEGAWALet R be an unbounded finite sheeted convering surface over an open Riemann surface with an exhaustion condition.In this paper, the necessary and sufficient condition in order that H°°(R) separates the points of R is given in term of branch points, where H°°(R) is the algebra of bounded analytic functions on R.