S. G. Kazantsev

activity

20042023

collaborators

3 papers

math-ph2023

A uniqueness result for the inverse problem of identifying boundaries from weighted Radon transform

D. S. Anikonov, S. G. Kazantsev, D. S. Konovalova

We study the problem of the integral geometry, in which the functions are integrated over hyperplanes in the $n$ -dimensional Euclidean space, $n = 2 m + 1$ . The integrand is the product…

math.DG2018

Funk-Minkowski transform and spherical convolution of Hilbert type in reconstructing functions on the sphere

Sergey G. Kazantsev

The Funk--Minkowski transform $F$ associates a function $f$ on the sphere $S^{2}$ with its mean values (integrals) along all great circles of the sphere. Thepres…

math.CV2004

Singular value decomposition for the 2D fan-beam Radon transform of tensor fields

Sergey G. Kazantsev, Alexandre A. Bukhgeim

In this article we study the fan-beam Radon transform $D_{m}$ of symmetrical solenoidal 2D tensor fields of arbitrary rank $m$ in a unit disc $D$ as the operator, act…