53 citations · 156 across the 22 of their papers we have counts for
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math.SP2012★ 7 cited
Extended States for Polyharmonic Operators with Quasi-periodic Potentials 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 spectrum of $H…
math.SP2012★ 53 cited
A Survey on the Krein-von Neumann Extension, the corresponding Abstract Buckling Problem, and Weyl-Type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains
Mark S. Ashbaugh, Fritz Gesztesy, Marius Mitrea +2
In the first (and abstract) part of this survey we prove the unitary equivalence of the inverse of the Krein--von Neumann extension (on the orthogonal complement of its kernel) of…