Spectral asymptotics for negative fractional powers of hypoelliptic operators on graded Lie groups generalize Birman-Solomyak and imply a version of Connes' integration formula.
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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.
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Weyl asymptotic formulas in the nilpotent Lie group setting
Spectral asymptotics for negative fractional powers of hypoelliptic operators on graded Lie groups generalize Birman-Solomyak and imply a version of Connes' integration formula.
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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.