Momentum ray transforms, II: range characterization in the Schwartz space
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Publication:5000582
DOI10.1088/1361-6420/AB6A65zbMath1476.44002arXiv1909.07682OpenAlexW2973765856MaRDI QIDQ5000582
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Publication date: 14 July 2021
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.07682
inverse problemsray transformtensor analysisrange characterizationmomentum ray transformJohn's conditions
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The generalized Saint Venant operator and integral moment transforms ⋮ Unique continuation results for certain generalized ray transforms of symmetric tensor fields ⋮ An extension of Asgeirsson's mean value theorem for solutions of the ultra-hyperbolic equation in dimension four ⋮ Iterative inversion of the tensor momentum x-ray transform ⋮ Momentum Ray Transforms and a Partial Data Inverse Problem for a Polyharmonic Operator ⋮ Inversion of generalized Radon transforms acting on 3D vector and symmetric tensor fields ⋮ V-line 2-tensor tomography in the plane ⋮ On the range of the \(X\)-ray transform of symmetric tensors compactly supported in the plane ⋮ X-ray transform on Sobolev spaces ⋮ Generalized attenuated ray transforms and their integral angular moments ⋮ Generalized V-line transforms in 2D vector tomography ⋮ Injectivity and Range Description of Integral Moment Transforms Over $m$-Tensor Fields in $\mathbb{R}^n$
Cites Work
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- The Radon transform.
- Integral geometry for tensor fields. Transl. from the Russian
- Momentum ray transforms
- The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
- The ultrahyperbolic differential equation with four independent variables
- The John equation for tensor tomography in three-dimensions
- Inversion of the x-ray transform for 3D symmetric tensor fields with sources on a curve
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