We discuss the essential self-adjointness of wave operators, as well as the limiting absorption principle, in generalizations of asymptotically Minkowski settings. This is obtained via using a Fredholm framework for inverting the spectral family first, and then refining its conclusions to show dense range of $\Box-\lambda$, $\lambda\notin\mathbb R$, in $L^2_\mathrm {sc}$ when acting on an appropriate subdomain.

中文翻译：

---

波动算子的基本自伴性和洛伦兹散射空间的极限吸收原理

在渐近的Minkowski设置的推广中，我们讨论了波动算子的基本自伴性以及极限吸收原理。这是通过使用Fredholm框架首先对频谱族进行求逆，然后完善其结论以显示$ \ Box- \ lambda $，$ \ lambda \ notin \ mathbb R $在$ L ^ 2_ \ mathrm中的密集范围而获得的。 {sc} $在相应的子域上执行操作时。