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math.SP2022★ 1 cited
Semiclassical estimates for eigenvalue means of Laplacians on spheres
Davide Buoso, Paolo Luzzini, Luigi Provenzano +1
We compute three-term semiclassical asymptotic expansions of counting functions and Riesz-means of the eigenvalues of the Laplacian on spheres and hemispheres, for both Dirichlet a…
math.SP2021★ 1 cited
On the spectral asymptotics for the buckling problem
Davide Buoso, Paolo Luzzini, Luigi Provenzano +1
We provide a direct proof of Weyl's law for the buckling eigenvalues of the biharmonic operator on a wide class of domains of including bounded Lipschitz domains. The…