The X-ray transform for a generic family of curves
classification
🧮 math.DG
math.AP
keywords
curvesfamilygammagenerictransformboundarybundlecompact
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We study the weighted integral transform on a compact manifold with boundary over a smooth family of curves $\Gamma$. We prove generic injectivity and a stability estimate under the condition that the conormal bundle of $\Gamma$ covers $T^*M$.
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