The two-dimensional moment problem in a strip

Details The two-dimensional moment problem in a strip The two-dimensional moment problem in a strip

2010-05-11

arxiv.org/abs/1005.1769v1

Mathematics

Functional Analysis

28 pages

Scientific paper

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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