论文标题
限制吸收原理和Feynman繁殖器在渐近的Minkowski空间上
Limiting absorption principle and equivalence of Feynman propagators on asymptotically Minkowski spacetimes
论文作者
论文摘要
在本文中，我们将表明，在渐近的Minkowski时空上，波算子的限制吸收原理。 [A.先前考虑了这个问题Vasy，J。Spect。理论，10,439-461，（2020）]。在这里，我们采用了一种更透明的工具，即穆雷理论，并消除了他的论文中施加的额外条件。此外，我们还证明了吉拉德（Gérard）和弗罗夫纳（Wrochna）定义的抗远征传播剂与即将到来的分解相吻合。
In this paper, we shall show that the limiting absorption principle for the wave operator on the asymptotically Minkowski spacetime. This problem was previously considered by [A. Vasy, J. Spect. Theory, 10,439-461 , (2020)]. Here, we employ a more transparent tool, the Mourre theory and removes an additional condition which is imposed in his paper. Moreover, we also prove that the anti-Feynman propagator defined by Gérard and Wrochna coincides with the outgoing resolvent.
