A Support Theorem For The Radiation Fields On Asymptotically Euclidean Manifolds

2007/09/23 by Antônio Sá Barreto, Antonio Sa Barreto, Barreto, Antonio Sa
Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Medical Imaging Techniques and Applications #Numerical methods in inverse problems #math.AP

paper · pdf · doi:10.48550/arxiv.0709.3650

arxiv created 2007/09/23 · openalex publication_date 2007/09/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a support theorem for the radiation fields on asymptotically Euclidean manifolds with metrics which are warped products near infinity. It generalizes to this setting the well known support theorem for the Radon transform on n-dimensional Euclidean space.

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