2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74188The aim of this work is to develop a global calculus for pseudo-differential operators acting on suitable algebras of generalized functions. In particular, a condition of global hypoellipticity of the symbols gives a result of regularity for the corresponding pseudo-differential equations. This calculus and this frame are proposed as tools for the study in Colombeau algebras of partial differential equations globally defined on $\mathbb{R}^n$.Analysis of PDEs46F30, 47G30, 35H05text