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arXiv · 2506.24067

The matrix weighted real-analytic double fibration transforms

Hiroyuki Chihara·Shubham R. Jathar·Jesse Railo
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Abstract

We show that the real-analytic matrix-weighted double fibration transform determines the analytic wavefront set of a vector-valued function. We apply this result to show that the matrix weighted ray transform is injective on a two-dimensional, non-trapping, real-analytic Riemannian manifold with strictly convex boundary. Additionally, we show that a real-analytic Higgs field can be uniquely determined from the nonabelian ray transform on real-analytic Riemannian manifolds of any dimension with a strictly convex boundary point.

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Hiroyuki Chihara, Shubham R. Jathar, Jesse Railo. 2025-06-30. The matrix weighted real-analytic double fibration transforms. https://doi.org/10.54330/afm.185114

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