Inversion of the pair of weighted and classical circular Radon transforms in \(\mathcal{C}(\mathbf{R}^2)\)
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Publication:6063629
DOI10.1016/j.jmaa.2023.127687OpenAlexW4385880224MaRDI QIDQ6063629
Publication date: 8 November 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127687
Radon transform (44A12) Hyperbolic equations and hyperbolic systems (35Lxx) Physiological, cellular and medical topics (92Cxx)
Cites Work
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- A remark on the weighted Radon transform on the plane
- To recovering the moments from the spherical mean Radon transform
- To local reconstruction from the spherical mean Radon transform
- Injectivity sets for the Radon transform over circles and complete systems of radial functions
- A family of inversion formulas in thermoacoustic tomography
- Mathematical Methods in Image Reconstruction
- Generalized radon transform on the sphere
- Mathematical Modeling in Photoacoustic Imaging of Small Absorbers
- Explicit inversion formulae for the spherical mean Radon transform
- Spherical means with centers on a hyperplane in even dimensions
- Inversion ofN-Dimensional Spherical Averages
- On the Determination of a Function from Spherical Averages
- Determining a Function from Its Mean Values Over a Family of Spheres
- On the injectivity of the circular Radon transform
- Thermoacoustic tomography with variable sound speed
- Photoacoustic tomography with direction dependent data: an exact series reconstruction approach
- Inversion of Spherical Means and the Wave Equation in Even Dimensions
- Universal Inversion Formulas for Recovering a Function from Spherical Means
- Inversion formulae for the spherical mean in odd dimensions and the Euler–Poisson–Darboux equation
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