Geodesic
On the reconstruction of a function from its integrals along polygonal lines of one family in the plane
Daghestan Electronic Mathematical Reports, no. 7 (2017), pp. 52-60 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, two-parameter family of broken, uniqueness of the reconstruction.
Mots-clés : quasi polynomial 
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     title = {On the reconstruction of a function from its integrals along polygonal lines of one family in the plane},
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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, no. 7 (2017), pp. 52-60. http://geodesic.mathdoc.fr/item/DEMR_2017_7_a5/

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