2 papers
math.AP2026
Vekua-Type Operators on Compact Lie Groups: Hypoellipticity, Solvability, and Self-Duality
Alexandre Kirilov, Ricardo Paleari da Silva
We study global hypoellipticity and global solvability for Vekua-type operators associated with diagonal left-invariant operators on compact Lie groups. The conjugation term produc…
math.AP2024
Diagonal systems of differential operators on compact Lie groups
Paulo L. Dattori da Silva, Alexandre Kirilov, Ricardo Paleari da Silva
We investigate the global hypoellipticity and global solvability of systems of left-invariant differential operators on compact Lie groups. Focusing on diagonal systems, we establi…