Global properties of vector fields on compact Lie groups in Komatsu classes

Abstract

In this paper we characterize completely the global hypoellipticity and global solvability in the sense of Komatsu (of Roumieu and Beurling types) of constant-coefficients vector fields on compact Lie groups. We also analyze the influence of perturbations by lower order terms in the preservation of these properties.

23 pages. arXiv admin note: text overlap with arXiv:1910.00059