Schur algorithm for Stieltjes indefinite moment problem
Classical Analysis and ODEs
2016-06-13 v1
Abstract
Nondegenerate truncated indefinite Stieltjes moment problem in the class of generalized Stieltjes functions is considered. To describe the set of solutions of this problem we apply the Schur step-by-step algorythm, which leads to the expansion of these solutions in generalized Stieltjes continuous fractions studied recently in \cite{DK15}. Explicit formula for the resolvent matrix in terms of generalized Stieltjes polynomials is found.
Keywords
Cite
@article{arxiv.1606.03371,
title = {Schur algorithm for Stieltjes indefinite moment problem},
author = {Vladimir Derkach and Ivan Kovalyov},
journal= {arXiv preprint arXiv:1606.03371},
year = {2016}
}
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27 pages