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Pseudospectral phenomena preventing the analyticity sector of a Ornstein-Uhlenbeck semigroup to be ruled by the spectral angle of its generator
We study elliptic Ornstein-Uhlenbeck operators in $L^2$ spaces with respect to invariant measures. These operators have discrete spectra and generate analytic semigroups. The angle defining the analyticity sector of a Ornstein-Uhlenbeck semigroup is not always equal to the complementary angle of the
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