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Journals / International Electronic Journal of Geometry / 2026 / Volume: 19 Issue: 1

On a Restoring Problem of Integral Geometry in Three-dimensional Space Over a Family of Cones

Mukhiddin Mumınov(Samarkand State University named after Sharof Rashidov)0000-0003-0335-6558
Zarifjon Ochilov(Samarkand State University named after Sharof Rashidov)0009-0008-2704-6478
Pages
—
Publication Date
2026-04-22
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⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

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Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Problem of integral geometry · Fourier transform · theorem of existence and uniqueness of the solution

Abstract

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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Cite This Article

Mumınov, M., Ochilov, Z. (2026). On a Restoring Problem of Integral Geometry in Three-dimensional Space Over a Family of Cones. International Electronic Journal of Geometry, Volume: 19 Issue: 1. https://doi.org/10.36890/iejg.1716666

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