The X-ray transform for a generic family of curves

2007/02/03 by Béla A. Frigyik, Plamen Stefanov, Frigyik, Bela +3 · 1 citation
Mathematics · Computer Science · #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.math/0702065

Abstract

We study the weighted integral transform on a compact manifold with boundary over a smooth family of curves Γ. We prove generic injectivity and a stability estimate under the condition that the conormal bundle of Γ covers T^*M.

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