Scattering matrix for asymptotically euclidean manifolds
Richard Melrose, Maciej Zworski (1994)
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Richard Melrose, Maciej Zworski (1994)
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The scattering matrix is defined on a perturbed stratified medium. For a class of perturbations, its main part at fixed energy is a Fourier integral operator on the sphere at infinity. Proving this is facilitated by developing a refined limiting absorption principle. The symbol of the scattering matrix determines the asymptotics of a large class of perturbations.
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