18 citations · 40 across the 9 of their papers we have counts for
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math-ph2016★ 3 cited
Does Levinson's theorem count complex eigenvalues ?
F. Nicoleau, D. Parra, S. Richard
Yes it does ! Indeed an extended version of Levinson's theorem is proposed for a system involving complex eigenvalues. The perturbed system corresponds to a realization of the Schr…
math.SP2016★ 9 cited
Spectral and scattering theory for Gauss-Bonnet operators on perturbed topological crystals
Daniel Parra
In this paper we investigate the spectral and the scattering theory of Gauss--Bonnet operators acting on perturbed periodic combinatorial graphs. Two types of perturbation are cons…
math.SP2016★ 18 cited
Spectral and scattering theory for Schrödinger operators on perturbed topological crystals
Daniel Parra, Serge Richard
In this paper we investigate the spectral and the scattering theory of Schrödinger operators acting on perturbed periodic discrete graphs. The perturbations considered are of two t…