The X-ray transform for a generic family of curves

Details The X-ray transform for a generic family of curves The X-ray transform for a generic family of curves

2007-02-03

arxiv.org/abs/math/0702065v1

Mathematics

Differential Geometry

Scientific paper

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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