We use a Lagrangian perspective to show the limiting absorption principle on Riemannian scattering, i.e. asymptotically conic, spaces, and their generalizations. More precisely we show that, for non-zero spectral parameter, the `on spectrum', as well as the `off-spectrum', spectral family is Fredholm in function spaces which encode the Lagrangian regularity of generalizations of `outgoing spherical waves' of scattering theory, and indeed this persists in the `physical half plane'.

中文翻译：

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黎曼散射（渐近圆锥）空间的限制吸收原理，一种拉格朗日方法

我们使用拉格朗日视角来展示黎曼散射的极限吸收原理，即渐近圆锥、空间及其推广。更准确地说，对于非零谱参数，“谱上”以及“谱外”，谱族是函数空间中的 Fredholm，函数空间对“输出球面波”的泛化的拉格朗日正则性进行编码。散射理论，实际上这在“物理半平面”中仍然存在。