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Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators
Abstract
We analyze a general class of difference operators Hε = Tε + Vε on ℓ2(εℤd), where Vε is a multi-well potential and ε is a small parameter. We construct approximate eigenfunctions in neighbourhoods of the different wells and give weighted ℓ2-estimates for the difference of these and the exact eigenfunctions of the associated Dirichlet-operators.
Versions
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BibTeX
@misc{klein2026agmon,
title = {{Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators}},
author = {Markus Klein and Elke Rosenberger},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.31419},
eprint = {2609.31419},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.31419},
}
RIS
TY - UNPB
TI - Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators
AU - Markus Klein
AU - Elke Rosenberger
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.31419
UR - https://arxiv.org/abs/2609.31419
AB - We analyze a general class of difference operators H_ε = T_ε + V_ε on ℓ^2(εℤ^d), where V_ε is a multi-well potential and ε is a small parameter. We construct approximate eigenfunctions in neighbourhoods of the different wells and give weighted ℓ^2-estimates for the difference of these and the exact eigenfunctions of the associated Dirichlet-operators.
ER -