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arxiv: 1601.00984 · v1 · pith:TTX34K54new · submitted 2016-01-05 · 🧮 math-ph · math.MP· math.SP

Spectral estimates for the Heisenberg Laplacian on cylinders

classification 🧮 math-ph math.MPmath.SP
keywords heisenberglaplaciantermadditionalboundaryconditionscylindercylinders
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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.

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