A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on L^2(R^d)
arXiv:1404.0529
Abstract
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-Prüß Theorem.
43 pages, improved presentation, suggestions by referees incorporated, will appear in Journal of Functional Analysis