Range characterization of ray transform on Sobolev spaces of symmetric tensor fields

DOI10.3934/IPI.2024014MaRDI QIDQ6617204

Venkateswaran P. Krishnan, Vladimir Sharafutdinov

Publication date: 10 October 2024

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

zbMATH Keywords

inverse problemsray transformtensor analysisrange characterizationReshetnyak formula

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Radon transform (44A12) Numerical methods for inverse problems for integral equations (65R32)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• The Radon transform.
• Integral geometry for tensor fields. Transl. from the Russian
• Momentum ray transforms
• Radon transform on Sobolev spaces
• Ray transform on Sobolev spaces of symmetric tensor fields. I: Higher order Reshetnyak formulas
• On range condition of the tensor x-ray transform in \(\mathbb R^n\)
• 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
• The Reshetnyak formula and Natterer stability estimates in tensor tomography
• Momentum ray transforms, II: range characterization in the Schwartz space
• X-ray transform on Sobolev spaces

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