200 citations · 1k across the 51 of their papers we have counts for
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math-ph2005★ 35 cited
On the structure of eigenfunctions corresponding to embedded eigenvalues of locally perturbed periodic graph operators
Peter Kuchment, Boris Vainberg
The article is devoted to the following question. Consider a periodic self-adjoint difference (differential) operator on a graph (quantum graph) G with a co-compact free action of…
math-ph2005★ 1 cited
Liouville theorems and spectral edge behavior on abelian coverings of compact manifolds
Peter Kuchment, Yehuda Pinchover
The paper describes relations between Liouville type theorems for solutions of a periodic elliptic equation (or a system) on an abelian cover of a compact Riemannian manifold and t…