This last chapter is devoted to the proof of the description of the discrete spectrum of type I and type II of standard pseudo-Riemannian homogeneous spaces XΓ = Γ\G/H in terms of the representation theory of the reductive subgroup L acting properly and spherically on the homogeneous space X = G/H. The description is given by the transfer maps of Chapter 7 . These maps can be calculated explicitly, and connect spectrum in pseudo-Riemannian locally homogeneous spaces and in vector bundles over Riemannian locally symmetric spaces. The proof of the description of the discrete spectrum in XΓ is derived from a proof of an analogous statement to the conjecture in Chapter 11 , which holds for vector bundles over Riemannian locally symmetric spaces.