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arXiv · 2609.31419

Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators

Markus Klein·Elke Rosenberger
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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.

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Markus Klein, Elke Rosenberger. 2026-09-25. Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators. https://doi.org/10.3233/asy-151343

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