Dirichlet Sub-Laplacians on Homogeneous Carnot Groups: Spectral Properties, Asymptotics, and Heat Content
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DOI: 10.1093/imrn/rnad065
Abstract: We consider sub-Laplacians in open bounded sets in a homogeneous Carnot group and study their spectral properties. We prove that these operators have a pure point spectrum and prove the existence of the spectral gap.… read more here.
Keywords: sub laplacians; homogeneous carnot; dirichlet sub; heat content ... See more keywords