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math.FA2020
The Essential Spectrum of the Discrete Laplacian on Klaus-sparse Graphs
Sylvain Golenia, Françoise Truc
In 1983, Klaus studied a class of potentials with bumps and computed the essential spectrum of the associated Schr{ö}dinger operator with the help of some localisations at infinity…
math.FA2020★ 3 cited
Limiting absorption principle for discrete Schr{ö}dinger operators with a Wigner-von Neumann potential and a slowly decaying potential
Sylvain Golenia, Marc-Adrien Mandich
We consider discrete Schr{ö}dinger operators on for which the perturbation consists of the sum of a long-range type potential and a Wigner-von Neumann type potenti…