On the two-dimensional moment problem

Sergey Zagorodnyuk

doi:10.15352/afa/1399900996

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Home > Journals > Ann. Funct. Anal. > Volume 1 > Issue 1 > Article

2010 On the two-dimensional moment problem

Sergey Zagorodnyuk

Ann. Funct. Anal. 1(1): 80-104 (2010). DOI: 10.15352/afa/1399900996

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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. In a consequence, analogous results are obtained for the complex moment problem.