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

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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Publication Details

Journal
International Electronic Journal of Geometry
Published
2026-04-22
DOI
https://doi.org/10.36890/iejg.1716666
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

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

M. I. Muminov, Z. H. Ochilov
International Electronic Journal of Geometry
Holomorphic and Operator Theory
article

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

M. I. Muminov, Z. H. Ochilov
article en

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.

International Electronic Journal of GeometryVol. 19(1)
Samarkand State University named after Sharof Rashidov (UZ)
Openalex Percentile: Top 7%
Holomorphic and Operator Theory
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On a Restoring Problem of Integral Geometry in Three-dimensional Space Over a Family of Cones — M. I. Muminov, Z. H. Ochilov · International Electronic Journal of Geometry (2026) | TGRS Research Map | TGRS