2010/05/11 by Sergey M. Zagorodnyuk, Zagorodnyuk, Sergey M. · 1 citation
Mathematics · #44A60 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:44A60
paper · pdf · doi:10.48550/arxiv.1005.1769
28 pages
arxiv created 2010/05/11 · arxiv updated 2010/05/12
In this paper we study the two-dimensional moment problem in a strip Π(R) = \ (x1,x2)∈ ℝ2: |x2| ≤ 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.