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20072026
most citedA Survey on the Krein-von Neumann Extension, the corresponding Abstract Buckling Problem, and Weyl-Type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains

53 citations · 156 across the 22 of their papers we have counts for

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Showing 2012 · math-phShow all

2 papers · 2 filters

math-ph2012★ 3 cited

Multiscale Analysis in Momentum Space for Quasi-periodic Potential in Dimension Two

Yulia Karpeshina, Roman Shterenberg

We consider a polyharmonic operator $H=(-Δ)^l+V(\x)$ in dimension two with , being an integer, and a quasi-periodic potential $V(\x)$. We prove that the absolutely con…

math-ph2012★ 4 cited

Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic pseudo-differential operators

Sergey Morozov, Leonid Parnovski, Roman Shterenberg

We obtain a complete asymptotic expansion of the integrated density of states of operators of the form H =(-Δ)^w +B in R^d. Here w >0, and B belongs to a wide class of almost-perio…