  We consider restrictions along closed geodesics and geodesic circles for
eigenfunctions of the Laplace-Beltrami operator on a compact hyperbolic Riemann
surface. We obtain a non-trivial bound on the L^2-norm of such restrictions as
the eigenvalue tends to infinity. We use methods from the theory of automorphic
functions and in particular the uniqueness of invariant functionals on
irreducible unitary representations of PGL(2,R).
