Lower bounds for operators on graded Lie groups
classification
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math.APmath.RT
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boundsgradedgroupsloweroperatorsapplicationcalculuscoefficients
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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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