Two-dimensional moment problem and Schur algorithm
Functional Analysis
2024-04-05 v1 Numerical Analysis
Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2404.03342,
title = {Two-dimensional moment problem and Schur algorithm},
author = {Ivan Kovalyov and Stefan Kunis},
journal= {arXiv preprint arXiv:2404.03342},
year = {2024}
}