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math.SP2015★ 7 cited
Accumulation of complex eigenvalues of an indefinite Sturm--Liouville operator with a shifted Coulomb potential
Michael Levitin, Marcello Seri
For a particular family of long-range potentials , we prove that the eigenvalues of the indefinite Sturm--Liouville operator accumulate to zero…
math.SP2014★ 22 cited
Spectral analysis and the Aharonov-Bohm~effect on certain almost-Riemannian manifolds
Ugo Boscain, Dario Prandi, Marcello Seri
We study spectral properties of the Laplace-Beltrami operator on two relevant almost-Riemannian manifolds, namely the Grushin structures on the cylinder and on the sphere. This ope…