  We prove a generalized version of Kazhdan's theorem for canonical forms on
Riemann surfaces. In the classical version, one starts with an ascending
sequence $\{S_n \rightarrow S\}$ of finite Galois covers of a hyperbolic
Riemann Surface $S$, converging to the universal cover. The theorem states that
the sequence of forms on $S$ inherited from the canonical forms on $S_n$'s
converges uniformly to (a multiple of) the hyperbolic form. We prove a
generalized version of this theorem, where the universal cover is replaced with
any infinite Galois cover. Along the way, we also prove a Gauss--Bonnet type
theorem in the context of arbitrary infinite Galois covers.
