Theta-Operator und Bers-Raeume (Theta Operator and Bers Spaces)

摘要

Fuchsian groups, the theta operator, and the Bers and Bergman spaces are introduced. Theorems for infinitely Fuchsian groups of the second kind without parabolic elements were deduced. An approximation of Fuchsian groups using infinitely generated groups of the second kind without parabolic elements, and its application are presented. Theorems for the Banach space were deduced.