We propose a new method for studying n- and Γ-cohomology of
globalizations of Harish-Chandra modules, where G=KAN is a rank one
semisimple Lie group, Γ is a discrete subgroup of G and n=Lie(N). We
prove a conjecture of Patterson relating the singularities of Selberg zeta
functions with the Γ-cohomology of principal series representations if
Γ is cocompact and torsion free.Comment: 21 pages, LATE