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ABEL - GONCHAROV PROBLEM IN KERNEL OF CONVOLUTION OPERATOR

delete2025-12-01
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PRE
AI
N
Napalkov Jr, V. V. *
N
Nuyatov, A. A.
DOI:10.13108/2025-17-4-71delete
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Abstract

Abstract

En 中文
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.
Keywords:
multiple interpolation
Abel Goncharov problem
convolution operator
entire functions

Journal

U
Ufa Mathematical Journal
IF:
0.4
Papers:
22
Citations:
0

Organization

N
nizhny novgorod state technical university
Scholars:
30
Papers: 11
Citations: 0
R
Russian Academy of Sciences
Scholars:
6.9K
Papers: 2.6K
Citations: 1.3W