2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60501We study the Fredholm properties of a general class of elliptic differential operators on $\R^n$. These results are expressed in terms of a class of weighted function spaces, which can be locally modeled on a wide variety of standard function spaces, and a related spectral pencil problem on the sphere, which is defined in terms of the asymptotic behaviour of the coefficients of the original operator.AMS-LaTeX, 61 pagesAnalysis of PDEs35J30, 35J45, 47A53text