The problem of integral geometry in three-dimensional space with a weight function of a special form

The problem of integral geometry in three-dimensional space with a weight function of a special form

In this paper, it is considered the problem of integral geometry in three-dimensional space over a family of cones with a weight function of a special form. The theorem of existence and uniqueness of the solution is proved and an explicit formula for the solution is obtained.

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Bibliographische Detailangaben
Hauptverfasser: Muminov, Mukhiddin, Ochilov, Zarifjon
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Existence theorems
Uniqueness theorems
Weighting functions
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Beschreibung
Zusammenfassung:In this paper, it is considered the problem of integral geometry in three-dimensional space over a family of cones with a weight function of a special form. The theorem of existence and uniqueness of the solution is proved and an explicit formula for the solution is obtained.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0200484