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Agmon-Kato-Kuroda theorems for a large class of perturbations

Alexandru Ionescu·Wilhelm Schlag
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Abstract

We extend the classical Agmon theorem on asymptotic completeness of two body Schroedinger operators to cover a larger class of perturbations. This is accomplished by means of a suitable limiting absorption principle. The proof of the latter relies on methods from harmonic analysis centered around the Stein-Tomas and Bochner-Riesz theorems.

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Alexandru Ionescu, Wilhelm Schlag. 2006-01-05. Agmon-Kato-Kuroda theorems for a large class of perturbations. https://arxiv.org/abs/math/0409313

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