2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116623We prove a local limit theorem for Lipschitz continuous observables on a weakly coupled lattice of piecewise expanding interval maps. The core of the paper is a proof that the spectral radii of the Fourier-transfer operators for such a system are strictly less than 1. This extends the approach of [KL2] where the ordinary transfer operator was studied.17 pagesDynamical Systems37L60,60F05text