Characterizations of global hypoellipticity and solvability are given for constant-coefficient Vekua-type operators on compact Lie groups, plus sufficient conditions for non-constant cases.
arXiv preprint arXiv:2602.15203 ( 2026)
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Global hypoellipticity and global solvability of Vekua-type operators associated with diagonal operators on compact Lie groups
Characterizations of global hypoellipticity and solvability are given for constant-coefficient Vekua-type operators on compact Lie groups, plus sufficient conditions for non-constant cases.