论文标题

在存在凸度的情况下,一种半经典的几何X射线转换

A semiclassical approach to geometric X-ray transforms in the presence of convexity

论文作者

Vasy, András

论文摘要

在这篇简短的论文中,我们介绍了一种颠倒X射线变换的方法,该变换起源于作者与Uhlmann的工作。新方法基于半经典分析,并消除了使用足够小的域和层剥离来获得注射性和稳定性结果的需求,假设满足了自然的几何条件。

In this short paper we introduce a variant of the approach to inverting the X-ray transform that originated in the author's work with Uhlmann. The new method is based on semiclassical analysis and eliminates the need for using sufficiently small domains and layer stripping for obtaining the injectivity and stability results, assuming natural geometric conditions are satisfied.

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