Proves a uniqueness theorem for Fourier image solutions in three-dimensional integral geometry, suggesting effective approaches for restoration problems.
This paper considers the problem of integral geometry in three-dimensional space over a family of cones with a weight function of a special form. A uniqueness theorem for the solution to the Fourier image is proved and two examples are considered to obtain a more accurate solution to the problem.
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Mumınov et al. (2026) studied this question.
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