Two-dimensional moment problem and Schur algorithm

2024/04/04 by Kovalyov, Ivan, Kunis, Stefan
#FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2404.03342

Abstract

We study a truncated two-dimensional moment problem in terms of the Stieltjes transform. The set of the solutions is described by the Schur step-by-step algorithm, which is based on the continued fraction expansion of the solution. In particular, the obtained results are applicable to the two-dimensional moment problem for atomic measures.

Related

• Multidimensional moment problem and diagonal Schur algorithm
• Multidimensional moment problem and Stieltjes transform
• On the two-dimensional moment problem
• On the two-dimensional moment problem
• On the truncated matricial Stieltjes moment problem M[[α,∞);(s_j)_j=0^m,≤]