2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162164Conditions are given, sufficient for the distribution of an Ornstein-Uhlenbeck process with Lévy noise to be absolutely continuous or to possess a smooth density. For the processes with non-degenerate drift coefficient, these conditions are a necessary ones. A multidimensional analogue for the non-degeneracy condition on the drift coefficient is introduced.Submitted to Probability Theory and Mathematical StatisticsProbability60J55; 60J45; 60F17Conditions for existence and smoothness of the distribution density for an Ornstein-Uhlenbeck process with Levy noisetext