  Building on results of Arthur and Mok, we extend to (finite volume) complex
and quaternionic hyperbolic manifolds the results of arXiv:1004.1085. For the
spherical spectrum our results are optimal. Finally, as an application we prove
a Lefschetz property for the restriction map between arithmetic quotients of
complex balls. This generalizes a recent theorem of Arvind Nair and gives an
optimal version of it.
