A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on   L^2(R^d)
  We consider Ornstein-Uhlenbeck operators perturbed by a radial potential. Under weak assumptions 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-Pr\"u{\ss} Theorem. 
Roland Donninger and Birgit Sch\"orkhuber
math.SP math.AP math.FA