A truncated indefinite Stieltjes moment problem
A truncated indefinite Stieltjes moment problem in the class Nkκ of generalized Stieltjes functions is studied. The set of solutions of Stieltjes moment problem is described by Schur step-by-step algorithm, which is based on the expansion of the solutions in a generalized Stieltjes continued fractio...
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| Veröffentlicht in: | Український математичний вісник |
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| Datum: | 2016 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/145085 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A truncated indefinite Stieltjes moment problem / I.M. Kovalyov // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 473-498. — Бібліогр.: 24 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | A truncated indefinite Stieltjes moment problem in the class Nkκ of generalized Stieltjes functions is studied. The set of solutions of Stieltjes moment problem is described by Schur step-by-step algorithm, which is based on the expansion of the solutions in a generalized Stieltjes continued fraction. The resolvent matrix is represented in terms of generali-zed Stieltjes polynomials. A factorization formula for the resolvent matrix is found.
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| ISSN: | 1810-3200 |