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Lower bounds for operators on graded Lie groups

Published 3 Jan 2013 in math.FA, math.AP, and math.RT | (1301.0642v2)

Abstract: In this note we present a symbolic pseudo-differential calculus on graded nilpotent Lie groups and, as an application, a version of the sharp Garding inequality. As a corollary, we obtain lower bounds for positive Rockland operators with variable coefficients as well as their Schwartz-hypoellipticity.

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