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arXiv · 2606.14221

Regularity for the Geodesic X-Ray Transform in Nonsmooth Geometry

Pieti Kirkkopelto·Miika Manu·Mikko Salo
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Abstract

In this article we give regularity results for the geodesic X-ray transform on nonsmooth simple manifolds. As an application, we improve previous injectivity results for the geodesic X-ray transform acting on $L^p$ functions. The results are based on symbol smoothing arguments for the normal operator and mapping properties of pseudodifferential operators with low regularity symbols.

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Pieti Kirkkopelto, Miika Manu, Mikko Salo. 2026-06-12. Regularity for the Geodesic X-Ray Transform in Nonsmooth Geometry. https://arxiv.org/abs/2606.14221

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