Spectral analysis of the Laplacian acting on discrete cusps and funnels
Golénia, Sylvain ; Athmouni, Nassim ; Ennaceur, Marwa
arXiv, Tome 2019 (2019) no. 0, / Harvested from
We study the Laplacian acting on a discret cusp and a discret funnel. We perturb the metric in a long-range way. Then, we establish a Limiting Absorption Principle away the possible embedded eigenvalues. The approach is based on a positive commutator technique.
Publié le : 2019-02-12
Classification:  Mathematics - Spectral Theory,  Mathematics - Functional Analysis 
@article{1902.04467,
     author = {Gol\'enia, Sylvain and Athmouni, Nassim and Ennaceur, Marwa},
     title = {Spectral analysis of the Laplacian acting on discrete cusps and funnels},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1902.04467}
}

Golénia, Sylvain; Athmouni, Nassim; Ennaceur, Marwa. Spectral analysis of the Laplacian acting on discrete cusps and funnels. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1902.04467/