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arXiv · 1005.1769

The two-dimensional moment problem in a strip

Sergey M. Zagorodnyuk
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Abstract

In this paper we study the two-dimensional moment problem in a strip $Π(R) = \{ (x_1,x_2)\in \mathbb{R}^2:\ |x_2| \leq R \}$, $R>0$. We obtained a solvability criterion for this moment problem. We derived a parameterization of all solutions of the moment problem. An abstract operator approach and results of Godič, Lucenko and Shtraus are used.

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Sergey M. Zagorodnyuk. 2010-05-11. The two-dimensional moment problem in a strip. https://arxiv.org/abs/1005.1769

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