Multidimensional moment problem and Stieltjes transform
Ivan Kovalyov
TL;DR
This paper explores the multidimensional moment problem using the Stieltjes transform, developing an algorithm to find solutions via continued fractions, advancing the mathematical understanding of this interpolation problem.
Contribution
It introduces a step-by-step algorithm for solving the multidimensional moment problem using the Stieltjes transform and characterizes solutions through continued fractions.
Findings
Algorithm for multidimensional moment problem constructed
Solutions characterized in terms of continued fractions
Enhanced understanding of the interpolation problem
Abstract
The truncated multidimensional moment problem is studied in terms of the Stieltjes transform as the interpolation problem. A step-by-step algorithm is constructed for the multidimensional moment problem and the set of solutions is found in terms of continued fractions.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics