Schur algorithm for Stieltjes indefinite moment problem
Abstract
Nondegenerate truncated indefinite Stieltjes moment problem in the class Nk 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 DK15. Explicit formula for the resolvent matrix in terms of generalized Stieltjes polynomials is found.
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