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math.SP2008
Semiclassical Asymptotics on Manifolds with Boundary
Nilufer Koldan, Igor Prokhorenkov, Mikhail Shubin
We discuss semiclassical asymptotics for the eigenvalues of the Witten Laplacian for compact manifolds with boundary in the presence of a general Riemannian metric. To this end, we…
math.SP2003★ 5 cited
Discreteness of spectrum and positivity criteria for Schrödinger operators
Vladimir Maz'ya, Mikhail Shubin
We provide a class of necessary and sufficient conditions for the discreteness of spectrum of Schrödinger operators with scalar potentials which are semibounded below. The classica…