# The two-dimensional moment problem in a strip - Mathematics > Functional Analysis

Abstract: In this paper we study the two-dimensional moment problem in a strip $\PiR= \{ x 1,x 2\in \mathbb{R}^2:\ |x 2| \leq R \}$, $R>0$. We obtained asolvability criterion for this moment problem. We derived a parameterization ofall solutions of the moment problem. An abstract operator approach and resultsof Godi\v{c}, Lucenko and Shtraus are used.

Author: Sergey M. Zagorodnyuk

Source: https://arxiv.org/