LIMITING ABSORPTION PRINCIPLE FOR LONG-RANGE PERTURBATION IN THE DISCRETE TRIANGULAR LATTICE SETTING
| hal.structure.identifier | University of Gafsa, Faculty of Sciences of Gafsa, | |
| dc.contributor.author | ATHMOUNI, Nassim | |
| hal.structure.identifier | University of Hail, College of Sciences | |
| dc.contributor.author | ENNACEUR, Marwa | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GOLENIA, Sylvain | |
| hal.structure.identifier | Université de Sfax - University of Sfax | |
| dc.contributor.author | JADLAOUI, Amel | |
| dc.date.accessioned | 2024-04-04T02:29:48Z | |
| dc.date.available | 2024-04-04T02:29:48Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190208 | |
| dc.description.abstractEn | We study the discrete Laplacian acting on a triangular lattice. We perturb the metric and the potential in a long-range way. We aim at proving a Limiting Absorption Principle away the possible embedded eigenvalues. The approach is based on a positive commutator technique. | |
| dc.language.iso | en | |
| dc.subject.en | Commutator | |
| dc.subject.en | Mourre estimate | |
| dc.subject.en | Limiting Absorption Principle | |
| dc.subject.en | Discrete Laplacian | |
| dc.subject.en | Triangular lattice | |
| dc.title.en | LIMITING ABSORPTION PRINCIPLE FOR LONG-RANGE PERTURBATION IN THE DISCRETE TRIANGULAR LATTICE SETTING | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-04496633 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04496633v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=ATHMOUNI,%20Nassim&ENNACEUR,%20Marwa&GOLENIA,%20Sylvain&JADLAOUI,%20Amel&rft.genre=preprint |
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