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

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

2004-09-18

arxiv.org/abs/math/0409313v2

Mathematics

Analysis of PDEs

In this new and final version we take the work of Ruiz and Vega into account that we had not been aware of when this paper was

Scientific paper

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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