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math.CA2024
Reconstruction of a function defined on a sphere using the Funk transform
Rafik Aramyan
It is known that the Funk transform (the Funk-Radon transform) is invertible in the class of even (symmetric) continuous functions defined on the unit 2-sphere S^2. In this article…
math.CA2024
Reconstruction of a function from its two spherical Radon transforms with the centers on a plane
Rafik Aramyan
Hyperplane is a set of non-injectivity of the spherical Radon transform (SRT) in the space of continuous functions in R^d. In this article, for the reconstruction of an unknown fun…