On the null space of the backprojection operator and Rubin's conjecture for the spherical mean transform

DOI10.1088/1361-6420/ad8fc8MaRDI QIDQ6644944

Nisha Singhal, Divyansh Agrawal, Gaik Ambartsoumian, Venkateswaran P. Krishnan

Publication date: 28 November 2024

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

zbMATH Keywords

null spacerange characterizationbackprojection operatorspherical mean transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Radon transform (44A12) Hyperbolic equations and hyperbolic systems (35Lxx) Physiological, cellular and medical topics (92Cxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Range description for a spherical mean transform on spaces of constant curvature
• Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces
• Exterior/interior problem for the circular means transform with applications to intravascular imaging
• Range conditions for a spherical mean transform and global extendibility of solutions of the Darboux equation
• To recovering the moments from the spherical mean Radon transform
• Recovering functions from the spherical mean transform with limited radii data by expansion into spherical harmonics
• A family of inversion formulas in thermoacoustic tomography
• Range descriptions for the spherical mean Radon transform
• The mathematics of computerized tomography
• Inversion of the circular Radon transform on an annulus
• Inversion of a Class of Circular and Elliptical Radon Transforms
• Explicit inversion formulae for the spherical mean Radon transform
• A Range Description for the Planar Circular Radon Transform
• Reconstruction of a two-dimensional reflecting medium over a circular domain: Exact solution
• Image reconstruction from radially incomplete spherical Radon data
• Determining a Function from Its Mean Values Over a Family of Spheres
• Inversion of Spherical Means and the Wave Equation in Even Dimensions
• Inversion formulae for the spherical mean in odd dimensions and the Euler–Poisson–Darboux equation
• The range of the spherical mean value operator for functions supported in a ball

This page was built for publication: On the null space of the backprojection operator and Rubin's conjecture for the spherical mean transform