2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121540We prove sufficient conditions, ensuring that a sequence of multiple Wiener-Itô integrals (with respect to a general Gaussian process) converges stably to a mixture of normal distributions. Our key tool is an asymptotic decomposition of contraction kernels, realized by means of increasing families of projection operators. We also use an infinite-dimensional Clark-Ocone formula, as well as a version of the correspondence between "abstract" and "concrete" filtered Wiener spaces, in a spirit similar to Üstünel and Zakai (1997).31 pagesProbability60G60, 60G57, 60F05, 60H05, 60H07Stable convergence of multiple Wiener-Itô integralstext