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Spectrum of Lévy-Ornstein-Uhlenbeck semigroups on $\mathbb{R}^d$
We investigate the spectral properties of Markov semigroups associated with Ornstein-Uhlenbeck (OU) processes driven by Lévy processes. These semigroups are generated by non-local, non-self-adjoint operators. In the special case where the driving Lévy process is Brownian motion, one recovers the classical diffusion OU semigroup, whose spectral ...openaire +1 more source