Schur algorithm for Stieltjes indefinite moment problem
Nondegenerate truncated indefinite Stieltjes moment problem in the class $\mathbf{N}_{\kappa}^{k}$ 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 generali...
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| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
| Published: |
10-06-2016
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | Nondegenerate truncated indefinite Stieltjes moment problem in the class
$\mathbf{N}_{\kappa}^{k}$ 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 \cite{DK15}. Explicit
formula for the resolvent matrix in terms of generalized Stieltjes polynomials
is found. |
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| DOI: | 10.48550/arxiv.1606.03371 |