THE ADJACENCY MATRIX AND THE DISCRETE LAPLACIAN ACTING ON FORMS
| hal.structure.identifier | Faculté des Sciences de Sfax [FSS] | |
| dc.contributor.author | BALOUDI, Hatem | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GOLENIA, Sylvain | |
| hal.structure.identifier | Faculté des Sciences de Sfax [FSS] | |
| dc.contributor.author | JERIBI, Aref | |
| dc.date.accessioned | 2024-04-04T03:18:28Z | |
| dc.date.available | 2024-04-04T03:18:28Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194408 | |
| dc.description.abstractEn | We study the relationship between the adjacency matrix and the discrete Laplacian acting on 1-forms. We also prove that if the adjacency matrix is bounded from below it is not necessarily essentially self-adjoint. We discuss the question of essential self-adjointness and the notion of completeness. | |
| dc.description.sponsorship | Géométrie Spectrale, Graphes et Semiclassique - ANR-13-BS01-0007 | |
| dc.description.sponsorship | Théories spectrales et de la diffusion pour des modèles de théorie quantique des champs - ANR-12-JS01-0008 | |
| dc.language.iso | en | |
| dc.subject.en | adjacency matrix | |
| dc.subject.en | self-adjoint extension | |
| dc.subject.en | locally finite graphs | |
| dc.subject.en | discrete Laplacian | |
| dc.subject.en | forms | |
| dc.title.en | THE ADJACENCY MATRIX AND THE DISCRETE LAPLACIAN ACTING ON FORMS | |
| 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] | |
| dc.identifier.arxiv | 1505.06109 | |
| 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-01148783 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01148783v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BALOUDI,%20Hatem&GOLENIA,%20Sylvain&JERIBI,%20Aref&rft.genre=preprint |
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