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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| Published in: | Український математичний вісник |
|---|---|
| Date: | 2016 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/145085 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862568833438449664 |
|---|---|
| author | Kovalyov, I.M. |
| author_facet | Kovalyov, I.M. |
| 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. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| 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.
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| first_indexed | 2025-11-26T01:42:57Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-145085 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-11-26T01:42:57Z |
| publishDate | 2016 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kovalyov, I.M. 2019-01-14T20:30:19Z 2019-01-14T20:30:19Z 2016 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 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). en Інститут прикладної математики і механіки НАН України Український математичний вісник A truncated indefinite Stieltjes moment problem Article published earlier |
| spellingShingle | A truncated indefinite Stieltjes moment problem Kovalyov, I.M. |
| title | 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_short | A truncated indefinite Stieltjes moment problem |
| title_sort | truncated indefinite stieltjes moment problem |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/145085 |
| work_keys_str_mv | AT kovalyovim atruncatedindefinitestieltjesmomentproblem AT kovalyovim truncatedindefinitestieltjesmomentproblem |