The paper establishes spectral properties including explicit biorthogonal eigenfunctions for non-local OU operators when the drift matrix is diagonalizable, via intertwining with diffusion OU semigroups.
Herzog, Gamma calculus beyond Villani and explicit con- vergence estimates for Langevin dynamics with singular pot entials, Arch
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Spectral theory of non-local Ornstein-Uhlenbeck operators
The paper establishes spectral properties including explicit biorthogonal eigenfunctions for non-local OU operators when the drift matrix is diagonalizable, via intertwining with diffusion OU semigroups.