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Lower order perturbation and global analytic vectors for a class of globally analytic hypoelliptic operators

Lower order perturbation and global analytic vectors for a class of globally analytic hypoelliptic operators

In this work we return to the class of globally analytic hypoelliptic Hörmander’s operators defined on the $N$-dimensional torus introduced by Cordaro and Himonas and prove that if $P$ is any operator in this class, then a perturbation of $P$ by an analytic pseudodifferential operator with degree smaller than the …