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

Roland Donninger; Birgit Schörkhuber

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arXiv · 1404.0529

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

Roland Donninger·Birgit Schörkhuber

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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.

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BibTeX RIS

Roland Donninger, Birgit Schörkhuber. 2015-03-05. A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on L^2(R^d). https://arxiv.org/abs/1404.0529

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