2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79693We present the theory of pseudodifferential operators acting on a vector orbibundle over an orbifold, construct the zeta function of an elliptic pseudodifferential operator and show the existence of a meromorphic extension to the complex plane with at most simple poles. We give formulas for generalized densities on the orbifold whose integrals compute the residues of the zeta function.49 pages, Latex, uses the xypic packageDifferential Geometry58J40; 35P05text