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math.SP2011
Spectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbations
Vladimir Lotoreichik, Sergey Simonov
The spectrum of the self-adjoint Schrödinger operator associated with the Kronig-Penney model on the half-line has a band-gap structure: its absolutely continuous spectrum consists…
math.SP2011
Schatten-von Neumann estimates for resolvent differences of Robin Laplacians on a half-space
Vladimir Lotoreichik, Jonathan Rohleder
The difference of the resolvents of two Laplacians on a half-space subject to Robin boundary conditions is studied. In general this difference is not compact, but it will be shown…