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Injectivity and stability for the sub-Riemannian X-ray transform on H-type groups
We prove injectivity and a stability estimate for the X-ray transform along sub-Riemannian geodesics of $H$-type groups, a setting in which almost every geodesic carries conjugate points. The geodesics are helices labeled by a charge $λ$ valued in the dual of the center. We prove a Fourier slice the
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