English

On the two-dimensional moment problem

Functional Analysis 2010-09-27 v1

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.

Keywords

Cite

@article{arxiv.1009.4821,
  title  = {On the two-dimensional moment problem},
  author = {Sergey M. Zagorodnyuk},
  journal= {arXiv preprint arXiv:1009.4821},
  year   = {2010}
}

Comments

25 pages

R2 v1 2026-06-21T16:18:34.679Z