On the two-dimensional moment problem

2010/06/30 by Sergey M. Zagorodnyuk, Zagorodnyuk, Sergey M. · 2 citations
Mathematics · #44A60 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:44A60

paper · pdf · doi:10.48550/arxiv.1006.5803

23 pages

arxiv created 2010/06/30 · arxiv updated 2010/07/01

Abstract

In this paper we obtain an algorithm towards solving the two-dimensional moment problem. This algorithm gives the necessary and sufficient conditions for the solvability of the moment problem. It is shown that all solutions of the moment problem can be constructed using this algorithm.

Cited by

• An analytical parameterization for all solutions of the two-dimensional moment problem under Carleman-type conditions
• Dirichlet-type spaces of the unit bidisc and toral completely hyperexpansive operators

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