Global hypoellipticity and global solvability of Vekua-type operators associated with diagonal operators on compact Lie groups
arXiv:2604.06544
Abstract
In this paper, we study Vekua-type operators associated with diagonal operators on compact Lie groups. Characterizations of global hypoellipticity and global solvability properties are presented on classes of Vekua-type operators with constant coefficients. We also present sufficient conditions in order to get global solvability for a class of Vekua-type operators with non-constant coefficients.