Abel - Goncharov problem in kernel of convolution operator

Abstract

In the work we prove that the multiple interpolation problem is solvable, and as a corollary, the same for the Abel — Goncharov problem in the kernel of a convolution operator, when the zero sequence of the characteristic function of the convolution operator and the nodes, which are zeros of an entire function, are located in some angles in the complex plane and the nodes are multiple.