Functional Relations, Sharp Mapping Properties, and Regularization of the X-Ray Transform on Disks of Constant Curvature
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Publication:5137075
DOI10.1137/20M1311508zbMath1464.44003arXiv1910.13691MaRDI QIDQ5137075
Publication date: 1 December 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.13691
Radon transform (44A12) Integral operators (47G10) Parametrices in context of PDEs (35A17) Inverse problems for integral equations (45Q05)
Related Items (6)
Injectivity of the Heisenberg X-ray transform ⋮ The C∞ -isomorphism property for a class of singularly-weighted x-ray transforms ⋮ Sampling the X-ray Transform on Simple Surfaces ⋮ A sharp stability estimate for tensor tomography in non-positive curvature ⋮ Injectivity and Range Description of Integral Moment Transforms Over $m$-Tensor Fields in $\mathbb{R}^n$ ⋮ Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors
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