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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-Prüß Theorem.

preprint2015arXivOpen access
Roland DonningerBirgit Schörkhuber
math.APmath.FAmath.SP
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Roland DonningerBirgit Schörkhuber

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