Spectral estimates for the Heisenberg Laplacian on cylinders
Hynek Kovařík
Università degli Studi di Brescia, ItalyBartosch Ruszkowski
Universität Stuttgart, GermanyTimo Weidl
Universität Stuttgart, Germany
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Abstract
We study Riesz means of eigenvalues of the Heisenberg Laplacian with Dirichlet boundary conditions on a cylinder in dimension three. We obtain an inequality with a sharp leading term and an additional lower order term.