2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126824We consider sequences of additive functionals of difference approximations for uniformly non-degenerate multidimensional diffusions. The conditions are given, sufficient for such a sequence to converge weakly to a W-functional of the limiting process. The class of the W-functionals, that can be obtained as the limiting ones, is completely described in the terms of the associated W-measures, and coincides with the class of the functionals that are regular w.r.t. the phase variable.17 pages; submitted to TViMC (Theor. Probability and Math. Statist.)Probability60J55; 60J45; 60F17text