Works cited by this work

26 works

Work: An inversion formula for the Radon transform in three-dimensional space with a weight function

1. Inverse and Ill-posed Problems

   Sergey Kabanikhin

   Book201150 citations

   ABIABI:AkademIndex/openalex/2026.other.056821

2. The Mathematics of Computerized Tomography

   F. Natterer

   Book200111 citations

   ABIABI:AkademIndex/openalex/2026.other.193311

3. The Problem of Integral Geometry of Volterra Type with a Weight Function of a Special Type

   A. Begmatov, M. I. Muminov, Z. H. Ochilov

   ArticleNumerical methods in inverse problemsMathematics and Statistics20155 citations

   ABIABI:AkademIndex/openalex/2015.article.000139

4. Integral geometry problem with a discontinuous weight function

   A. Begmatov, Z. H. Ochilov

   ArticleDifferential Equations and Boundary ProblemsDoklady Mathematics20094 citations

   ABIABI:AkademIndex/openalex/2026.other.390590

5. Operator Theory and Ill-Posed Problems

   М. М. Лаврентьев, Lev Ja. Savel'ev

   Book20064 citations

   ABIABI:AkademIndex/openalex/2026.other.425910

6. An inversion formula for the weighted Radon transform along family of cones

   M. I. Muminov, Z.Kh. Ochilov

   ArticleMedical Imaging Techniques and ApplicationsNanosystems Physics Chemistry Mathematics20233 citations

   ABIABI:AkademIndex/openalex/2023.article.001645

7. Handbook of Integral Equations

   Andrei D. Polyanin

   Book19983 citations

   ABIABI:AkademIndex/openalex/2026.other.278015

8. An analog of Chang inversion formula for weighted Radon transforms in multidimensions

   Fedor Goncharov, Roman Novikov

   Article20163 citations

   ABIABI:AkademIndex/openalex/2026.other.425913

9. Untitled

   Other3 citations

   ABIABI:AkademIndex/openalex/2026.other.425915

10. Integral Geometry and Radon Transforms

    Sigurđur Helgason

    Book20103 citations

    ABIABI:AkademIndex/openalex/2026.other.450684

11. An integral geometry underdetermined problem for a family of curves

    Д. С. Аниконов, Д. С. Коновалова

    Article20152 citations

    ABIABI:AkademIndex/openalex/2026.other.450685

12. A generalization on the solvability of integral geometry problems along plane curves

    Zekeriya Ustaoglu

    Article20132 citations

    ABIABI:AkademIndex/openalex/2026.other.450686

13. An underdetermined problem of integral geometry for the generalized radon transform

    Д. С. Аниконов, Ya. A. Kipriyanov

    Article20162 citations

    ABIABI:AkademIndex/openalex/2026.other.450687

14. An iterative inversion of weighted Radon transforms along hyperplanes

    Fedor Goncharov

    Article20172 citations

    ABIABI:AkademIndex/openalex/2026.other.450688

15. An example of non-uniqueness for the weighted Radon transforms along hyperplanes in multidimensions

    Fedor Goncharov, R G Novikov

    Article20182 citations

    ABIABI:AkademIndex/openalex/2026.other.450689

16. An example of non-uniqueness for Radon transforms with continuous\n positive rotation invariant weights

    Fedor Goncharov, Roman Novikov

    Article20172 citations

    ABIABI:AkademIndex/openalex/2026.other.450690

17. Untitled

    Other2 citations

    ABIABI:AkademIndex/openalex/2026.other.450691

18. Untitled

    Other2 citations

    ABIABI:AkademIndex/openalex/2026.other.450692

19. Limited Data Problems for the Generalized Radon Transform in R<sup>n</sup>

    Jürgen Frikel, Eric Todd Quinto

    Article20162 citations

    ABIABI:AkademIndex/openalex/2026.other.467316

20. Untitled

    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.467315

21. Untitled

    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.467317

22. Untitled

    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.467318

23. Untitled

    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.467319

24. Untitled

    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.467320

25. Untitled

    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.467321