A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on L-2(R-d)

作者：Donninger Roland^*; Sehoerkhuber Birgit

来源：Journal of Functional Analysis, 2015, 268(9): 2479-2524.

DOI：10.1016/j.jfa.2015.03.001

• Ornstein-Uhlenbeck operator
• Spectral mapping
• Semigroup theory

We consider Ornstein-Uhlenbeck operators on L-2(R-d) 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-Pruss Theorem.

• 出版日期2015-5-1