一类广泛扰动下的 Agmon-Kato-Kuroda 定理
偏微分方程分析
2007-05-23 v2 谱理论
摘要
我们将关于两体薛定谔算子渐近完备性的经典 Agmon 定理推广到覆盖更大一类扰动。这是通过适当的极限吸收原理实现的。后者的证明依赖于以 Stein-Tomas 定理和 Bochner-Riesz 定理为核心的调和分析方法。
引用
@article{arxiv.math/0409313,
title = {Agmon-Kato-Kuroda theorems for a large class of perturbations},
author = {Alexandru Ionescu and Wilhelm Schlag},
journal= {arXiv preprint arXiv:math/0409313},
year = {2007}
}
备注
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