BooksecrCollected Volumepp. 433–446

Spectral estimates for the Heisenberg Laplacian on cylinders

  • Hynek Kovařík

    Università degli Studi di Brescia, Italy

  • Bartosch Ruszkowski

    Universität Stuttgart, Germany

  • Timo Weidl

    Universität Stuttgart, Germany
Spectral estimates for the Heisenberg Laplacian on cylinders cover
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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.