Multidimensional moment problem and diagonal Schur algorithm

2025/01/10 by Kovalyov, Ivan
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2501.05853

Abstract

The multidimensional moment problem is studied in terms of the Steiltjes transform. The diagonal step-by-step algorithm is constructed for the multidimensional moment problem. The set of solutions of the full multidimensional moment problem is found in terms of the continued fractions. Moreover, the diagonal step-by-step algorithm can be applied to the special truncated multidimensional moment problem.

Related

• Multidimensional moment problem and Stieltjes transform
• Two-dimensional moment problem and Schur algorithm
• On the two-dimensional moment problem
• On the two-dimensional moment problem
• The operator approach to the truncated multidimensional moment problem