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arXiv:math/0409313 [math.AP]AbstractReferencesReviewsResources

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

Alexandru Ionescu, Wilhelm Schlag

Published 2004-09-18, updated 2006-01-05Version 2

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.

Comments: 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 originally written. This allows for some simplifications. The references have also been updated to reflect the recent work of Koch and Tataru
Categories: math.AP, math.SP
Subjects: 35P25
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