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The Problem Of Restoring A Function In A Strip Along Curves With Singularities, А.Kh. Begmatov, A.S. Ismoilov
The Problem Of Restoring A Function In A Strip Along Curves With Singularities, А.Kh. Begmatov, A.S. Ismoilov
Scientific Journal of Samarkand University
In this work we consider the problem of re constructing a function from a family of parabolas in the upper half-plane with a weight function having a singularity. The uniqueness of theorem for the solution of equation is proved and the inversion formula is derived. It is shown that the solution of the problem posed is weakly ill -posed, that is, stability estimates are obtained in spaces of finite smoothness.