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Статьи (15)

# Публикация
1 Anikonov D.S. , Kazantsev S.G. , Konovalova D.S.
A uniqueness result for the inverse problem of identifying boundaries from weighted Radon transform
Journal of Inverse and Ill-Posed Problems. 2023. V.31. N6. P.959-965. DOI: 10.1515/jiip-2023-0038 WOS Scopus РИНЦ OpenAlex
2 Kazantsev S.G.
Polynomial basis in the space of vector functions $H^1_0$ and stokes system in a ball
Eurasian Journal of Mathematical and Computer Applications. 2022. V.10. N4. P.73- –95. DOI: 10.32523/2306-6172-2022-10-4-73-95 WOS Scopus
3 Kazantsev S.G.
Singular value decomposition of the longitudinal ray transform of vector fields in a ball in cone beam coordinates
Inverse Problems. 2021. V.37. N6. P.065008. DOI: 10.1088/1361-6420/abec1e WOS Scopus OpenAlex
4 Kazantsev S.G.
Funk–Minkowski transform and spherical convolution of Hilbert type in reconstructing functions on the sphere
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2019. V.15. P.1630-1650. DOI: 10.33048/semi.2018.15.135 WOS Scopus OpenAlex
5 Kazantsev S.G.
Factorization of the Green's operator in the Dirichlet problem for $(-1)^m(d/dt)^{2m}$
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2019. V.16. P.1662-1688. DOI: 10.33048/semi.2019.16.118 WOS Scopus OpenAlex
6 Kazantsev S.G. , Kardakov V.B.
Poloidal-Toroidal Decomposition of Solenoidal Vector Fields in the Ball
Journal of Applied and Industrial Mathematics. 2019. V.13. N3. P.480-499. DOI: 10.1134/S1990478919030098 Scopus OpenAlex
7 Казанцев С.Г. , Кардаков В.Б.
Полоидально-тороидальное разложение соленоидальных векторных полей в шаре
Сибирский журнал индустриальной математики. 2019. Т.22. №3. С.74-95. DOI: 10.33048/sibjim.2019.22.307 OpenAlex
8 Kazantsev S.G.
Singular value decomposition for the cone-beam transform in the ball
Journal of Inverse and Ill-Posed Problems. 2015. V.23. N2. P.173-185. DOI: 10.1515/jiip-2013-0067 WOS Scopus OpenAlex
9 Казанцев С.Г.
Тензорные поля на плоскости и преобразования Рисса
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2014. Т.11. С.709–724.
10 Kazantsev S.G. , Schuster T.
Asymptotic inversion formulas in 3D vector field tomography for different geometries
Journal of Inverse and Ill-Posed Problems. 2011. V.19. N4-5. P.769-799. DOI: 10.1515/jiip.2011.049 WOS Scopus OpenAlex
11 Derevtsov E.Y. , Kazantsev S.G. , Schuster T.
Polynomial bases for subspaces of vector fields in the unit ball. Method of ridge functions
Journal of Inverse and Ill-Posed Problems. 2007. V.15. N1. P.19-55. DOI: 10.1515/jiip.2007.002 Scopus РИНЦ OpenAlex
12 Kazantsev S.G. , Bukhgeim A.A.
Inversion of the scalar and vector attenuated X-ray transforms in a unit disc
Journal of Inverse and Ill-Posed Problems. 2007. V.15. N7. P.735-765. DOI: 10.1515/jiip.2007.040 Scopus OpenAlex
13 Kazantsev S.G. , Bukhgeim A.A.
The Chebyshev ridge polynomials in 2D tensor tomography
Journal of Inverse and Ill-Posed Problems. 2006. V.14. N2. P.157-188. DOI: 10.1515/156939406777571094 Scopus OpenAlex
14 Kazantsev S.G. , Bukhgeim A.A.
Singular value decomposition for the 2D fan-beam Radon transform of tensor fields
Journal of Inverse and Ill-Posed Problems. 2004. V.12. N3. P.245-278. DOI: 10.1515/1569394042215865 Scopus OpenAlex
15 Arbuzov E.V. , Bukhgeim A.L. , Kazantsev S.G.
Two-Dimensional Tomography Problems and the Theory of A-Analytic Functions
Siberian Advances in Mathematics. 1998. V.8. N4. P.1-20.

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