Z. G. Medzhidov, Sh. M. Gammadov, “Inversion of the V-Radon transform in a circle on incomplete data”, Daghestan Electronic Mathematical Reports, 2018, Issue 10,Pages <nobr>61

Inversion of the V-Radon transform in a circle on incomplete data

Z. G. Medzhidov^ab, Sh. M. Gammadov^b

^a Daghestan State University, Makhachkala
^b Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala

Abstract: New inversion formulas for the integral transformation on two-parameter families of polyhedrons in a circle are obtained. The first formula is obtained by the Cormac method of Fourier series expansions, the second one is based on the function interpolation theorem with finite Fourier transform.

Keywords: $V$-Radon transform, inversion formula, Fourier series, limited angular range.

UDC: 517.5

Received: 16.11.2018
Revised: 05.12.2018
Accepted: 06.12.2018

DOI: 10.31029/demr.10.6