The operator approach to the truncated multidimensional moment problem

TL;DR

This paper explores a novel operator-based method for solving the truncated multidimensional moment problem, providing a framework to construct atomic solutions under general truncation conditions.

Contribution

It introduces an operator approach to the problem and outlines a method for constructing atomic solutions for the truncated multidimensional moment problem.

Findings

Operator approach effectively addresses general truncations.

Method enables explicit construction of atomic solutions.

Framework broadens understanding of multidimensional moment problems.

Abstract

We study the truncated multidimensional moment problem with a general type of truncations. The operator approach to the moment problem is presented. A way to construct atomic solutions of the moment problem is indicated.