Geodesic
On the reconstruction of a function from its integrals along polygonal lines of one family in the plane
Daghestan Electronic Mathematical Reports, Tome 7 (2017), pp. 52-60

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{DEMR_2017_7_a5,
     author = {Z. G. Medzhidov},
     title = {On the reconstruction of a function from its integrals along polygonal lines of one family in the plane},
     journal = {Daghestan Electronic Mathematical Reports},
     pages = {52--60},
     publisher = {mathdoc},
     volume = {7},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DEMR_2017_7_a5/}
}
TY  - JOUR
AU  - Z. G. Medzhidov
TI  - On the reconstruction of a function from its integrals along polygonal lines of one family in the plane
JO  - Daghestan Electronic Mathematical Reports
PY  - 2017
SP  - 52
EP  - 60
VL  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DEMR_2017_7_a5/
LA  - ru
ID  - DEMR_2017_7_a5
ER  - 
%0 Journal Article
%A Z. G. Medzhidov
%T On the reconstruction of a function from its integrals along polygonal lines of one family in the plane
%J Daghestan Electronic Mathematical Reports
%D 2017
%P 52-60
%V 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DEMR_2017_7_a5/
%G ru
%F DEMR_2017_7_a5
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, Tome 7 (2017), pp. 52-60. http://geodesic.mathdoc.fr/item/DEMR_2017_7_a5/