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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| Дата: | 2016 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2016
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| Назва видання: | Український математичний вісник |
| Онлайн доступ: | 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 |
| Цитувати: | 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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nasplib_isofts_kiev_ua-123456789-1450852025-02-09T13:06:40Z A truncated indefinite Stieltjes moment problem Kovalyov, I.M. 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. This work is supported by the grant of Volkswagen Foundation and by Ministry of Education and Science of Ukraine (project number 0115U000556). 2016 Article A truncated indefinite Stieltjes moment problem / I.M. Kovalyov // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 473-498. — Бібліогр.: 24 назв. — англ. 1810-3200 2010 MSC. 30E05, 15B57, 46C20, 47A57 https://nasplib.isofts.kiev.ua/handle/123456789/145085 en Український математичний вісник application/pdf Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Kovalyov, I.M. |
| spellingShingle |
Kovalyov, I.M. A truncated indefinite Stieltjes moment problem Український математичний вісник |
| author_facet |
Kovalyov, I.M. |
| author_sort |
Kovalyov, I.M. |
| title |
A truncated indefinite Stieltjes moment problem |
| title_short |
A truncated indefinite Stieltjes moment problem |
| title_full |
A truncated indefinite Stieltjes moment problem |
| title_fullStr |
A truncated indefinite Stieltjes moment problem |
| title_full_unstemmed |
A truncated indefinite Stieltjes moment problem |
| title_sort |
truncated indefinite stieltjes moment problem |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2016 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/145085 |
| citation_txt |
A truncated indefinite Stieltjes moment problem / I.M. Kovalyov // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 473-498. — Бібліогр.: 24 назв. — англ. |
| series |
Український математичний вісник |
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AT kovalyovim atruncatedindefinitestieltjesmomentproblem AT kovalyovim truncatedindefinitestieltjesmomentproblem |
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2025-11-26T01:42:57Z |
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2025-11-26T01:42:57Z |
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1849815337223061504 |