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arXiv:1301.0642 [math.FA]AbstractReferencesReviewsResources

Lower bounds for operators on graded Lie groups

Veronique Fischer, Michael Ruzhansky

Published 2013-01-03, updated 2013-02-21Version 2

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.

Journal: C. R. Acad. Sci. Paris, Ser. 1 351 (2013) 13-18
Categories: math.FA, math.AP, math.RT
Subjects: 35S05, 43A80
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