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arxiv: math/0409313 · v2 · submitted 2004-09-18 · 🧮 math.AP · math.SP

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

classification 🧮 math.AP math.SP
keywords classperturbationstheoremsabsorptionaccomplishedagmonagmon-kato-kurodaanalysis
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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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