TL;DR
This paper presents an algorithm that provides necessary and sufficient conditions for solving the two-dimensional moment problem and constructs all possible solutions.
Contribution
The paper introduces a new algorithm that fully characterizes the solvability of the two-dimensional moment problem and enables explicit solution construction.
Findings
Algorithm determines solvability conditions.
All solutions can be explicitly constructed.
Provides a complete characterization of the problem.
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.
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