The two-dimensional moment problem in a strip

Published 11 May 2010 in math.FA | (1005.1769v1)

Abstract: In this paper we study the two-dimensional moment problem in a strip $\Pi(R) = { (x_1,x_2)\in \mathbb{R}^2:\ |x_2| \leq R }$, $R>0$. 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 Godi\v{c}, Lucenko and Shtraus are used.

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Sergey M. Zagorodnyuk

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