2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59355We prove that under fairly general conditions properly rescaled determinantal random point field converges to a generalized Gaussian random process.This is the revised version accepted for publication in the Annals of Probability. The results of Theorems 1 and 2 are extended, minor misprints are correctedProbabilityMathematical Physicstext