|
This article is cited in 1 scientific paper (total in 1 paper)
On the reconstruction of a function from its integrals along polygonal lines of one family in the plane
Z. G. Medzhidovab a Daghestan State University, Makhachkala
b Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
Abstract:
The problem of recovery of a function from its integrals along broken of some families on the plane, when the weight function is the quasi polynomial is solved. For some particular cases of weight functions the inversion formulas are obtained. In the general case the uniqueness of the solution of the task is proved.
Keywords:
integral transform, quasi polynomial, two-parameter family of broken, uniqueness of the reconstruction.
Received: 14.03.2017 Revised: 29.03.2017 Accepted: 30.03.2017
Citation:
Z. G. Medzhidov, “On the reconstruction of a function from its integrals along polygonal lines of one family in the plane”, Daghestan Electronic Mathematical Reports, 2017, no. 7, 52–60
Linking options:
https://www.mathnet.ru/eng/demr37 https://www.mathnet.ru/eng/demr/y2017/i7/p52
|
Statistics & downloads: |
Abstract page: | 183 | Full-text PDF : | 44 | References: | 26 |
|