Range characterizations and singular value decomposition of the geodesic X-ray transform on disks of constant curvature

DOI10.4171/JST/364zbMath1494.44003arXiv1906.09389MaRDI QIDQ2078204

François Monard, Rohit Kumar Mishra

Publication date: 28 February 2022

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.09389

zbMATH Keywords

singular value decompositioninverse problemsconstant curvatureintegral geometryconsistency conditionsrange characterizationgeodesic X-ray transform

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Radon transform (44A12) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items

The C∞ -isomorphism property for a class of singularly-weighted x-ray transforms ⋮ Singular value decomposition for longitudinal, transverse and mixed ray transforms of 2D tensor fields ⋮ Sampling the X-ray Transform on Simple Surfaces ⋮ Injectivity and Range Description of Integral Moment Transforms Over $m$-Tensor Fields in $\mathbb{R}^n$

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