On the boundedness of automorphic forms

Abstract

Since X has finite (noneuclidean) area if and only if P is a finitely generated group of the first kind [2 , [6d, our theorems are generalizations of the well-known fact that Aq(P) = Bq(r) when X has finite area. 2. Proof of the Lemma. It is well known [2], [6] that to each finitely generated Fuchsian group P of the second kind there corresponds a compact bordered Riemann surface X with interior X such that