A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on L2(Rd)

We consider Ornstein-Uhlenbeck operators on L2(Rd) perturbed by a radial potential V. Under weak assumptions on V we prove a spectral mapping theorem for the generated semigroup. The proof relies on a perturbative construction of the resolvent, based on angular separation, and the Gearhart-Prüss Theorem.