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math.SP2018
Rellich-Kondrakov embedding of the Laplacian resolvent on the torus
Louis Omenyi
This paper proves that the domain of the Laplacian, $\DEL,$ on a closed Riemannian manifold, is compactly embedded in Particularly, the resolvent of the Lapl…
math.SP2017
Generic Simplicity of a Schrödinger-type Operator on the Torus
Louis Omenyi, Emmanuel Nwaeze, McSylvester Omaba
The generic simplicity of the spectrum of a Schrödinger-type operator on the n-dimensional torus is studied using the Rayleigh-Schrödinger perturbation theory. The existence of a p…