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Spectral theory for non-local Ornstein-Uhlenbeck operators

Sarkar, Rohan
arXiv (All) · Papers
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analysis-of-pdesfunctional-analysisprobabilityspectral-theory
We consider non-local Ornstein-Uhlenbeck (OU) operators generating ergodic OU processes driven by Lévy processes. These operators are generally non-normal in the $L^2$ space weighted by the invariant distribution. We prove that their point spectrum and eigenvalue multiplicities are independent of th
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