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On eigenfunction approximations for typical non–self–adjoint Schrödinger operators

On eigenfunction approximations for typical non–self–adjoint Schrödinger operators

Efficient approximations are constructed for the eigenfunctions of non–self–adjoint Schrodinger operators in one dimension. The same ideas also apply to the study of resonances of self–adjoint Schrödinger operators which have dilation analytic potentials. In spite of the fact that such eigenfunctions can have surprisingly complicated structures with multiple local maxima, …