Schur algorithm for Stieltjes indefinite moment problem

2016/06/10 by Derkach, Vladimir, Kovalyov, Ivan
#30E05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1606.03371

Abstract

Nondegenerate truncated indefinite Stieltjes moment problem in the class N_κ^k 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 \citeDK15. Explicit formula for the resolvent matrix in terms of generalized Stieltjes polynomials is found.

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