@article{KleinRosenberger2016, author = {Klein, Markus and Rosenberger, Elke}, title = {Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators}, series = {Asymptotic analysis}, volume = {97}, journal = {Asymptotic analysis}, publisher = {IOS Press}, address = {Amsterdam}, issn = {0921-7134}, doi = {10.3233/ASY-151343}, pages = {61 -- 89}, year = {2016}, abstract = {We analyze a general class of difference operators H-epsilon = T-epsilon + V-epsilon on l(2)(((epsilon)Z)(d)), where V-epsilon is a multi-well potential and epsilon 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.}, language = {en} }