Limiting absorption principle for long-range perturbation in the discrete triangular lattice setting
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866913879479549952 |
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| author | Athmouni, Nassim Ennaceur, Marwa Golenia, Sylvain Jadlaoui, Amel |
| author_facet | Athmouni, Nassim Ennaceur, Marwa Golenia, Sylvain Jadlaoui, Amel |
| contents | We examine the discrete Laplacian acting on a triangular lattice, introducing long-range perturbations to both the metric and the potential. Our goal is to establish a Limiting Absorption Principle away from possible embedded eigenvalues. Our study relies on a positive commutator technique. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06578 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Limiting absorption principle for long-range perturbation in the discrete triangular lattice setting Athmouni, Nassim Ennaceur, Marwa Golenia, Sylvain Jadlaoui, Amel Functional Analysis Spectral Theory We examine the discrete Laplacian acting on a triangular lattice, introducing long-range perturbations to both the metric and the potential. Our goal is to establish a Limiting Absorption Principle away from possible embedded eigenvalues. Our study relies on a positive commutator technique. |
| title | Limiting absorption principle for long-range perturbation in the discrete triangular lattice setting |
| topic | Functional Analysis Spectral Theory |
| url | https://arxiv.org/abs/2403.06578 |