{
  "abstract": "We analyze a general class of difference operators $H_\\varepsilon = T_\\varepsilon + V_\\varepsilon$ on $\\ell^2(\\varepsilon\\mathbb{Z}^d)$, where $V_\\varepsilon$ is a multi-well potential and $\\varepsilon$ is a small parameter. We construct approximate eigenfunctions in neighbourhoods of the different wells and give weighted $\\ell^2$-estimates for the difference of these and the exact eigenfunctions of the associated Dirichlet-operators.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Asymptotic Analysis 97 (2016) 61-89",
  "arxiv": "2609.31419",
  "author_total": 2,
  "authors": [
    {
      "name": "Markus Klein"
    },
    {
      "name": "Elke Rosenberger"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2qd272s2yvtc9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.31419",
  "fulltext_url": null,
  "id": "2qd272s2yvtc9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.31419",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.SP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.31419",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2qd272s2yvtc9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:52Z",
      "native_id": "2609.31419",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.31419"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators",
  "title_text": "Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/2qd272s2yvtc9",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.3233/asy-151343",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}