An operator approach to indefinite Stieltjes moment problem
In the present paper we solve the indefinite Stieltjes moment problem MPkκ(s) within the M.G. Krein theory of u-resolvent matrices applied to a Pontryagin space symmetric operator A[0,N] generated by J[0,N]. The u-resolvent matrices of the operator A[0,N] are calculated in terms of generalized Stiel...
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| Опубліковано в: : | Український математичний вісник |
|---|---|
| Дата: | 2017 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/169313 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | An operator approach to indefinite Stieltjes moment problem / V.A. Derkach, I.M. Kovalyov // Український математичний вісник. — 2017. — Т. 14, № 1. — С. 42-85. — Бібліогр.: 50 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862651403375214592 |
|---|---|
| author | Derkach, V.A. Kovalyov, I.M. |
| author_facet | Derkach, V.A. Kovalyov, I.M. |
| citation_txt | An operator approach to indefinite Stieltjes moment problem / V.A. Derkach, I.M. Kovalyov // Український математичний вісник. — 2017. — Т. 14, № 1. — С. 42-85. — Бібліогр.: 50 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | In the present paper we solve the indefinite Stieltjes moment problem MPkκ(s) within the M.G. Krein theory of u-resolvent matrices applied to a Pontryagin space symmetric operator A[0,N] generated by J[0,N]. The u-resolvent matrices of the operator A[0,N] are calculated in terms of generalized Stieltjes polynomials using the boundary triple’s technique. Criterions for the problem MPkκ(s) to be solvable and indeterminate are found. Explicit formulae for Pade approximants for generalized Stieltjes fraction in terms of generalized Stieltjes polynomials are also presented.
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| first_indexed | 2025-12-01T18:28:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169313 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-01T18:28:39Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Derkach, V.A. Kovalyov, I.M. 2020-06-10T13:35:31Z 2020-06-10T13:35:31Z 2017 An operator approach to indefinite Stieltjes moment problem / V.A. Derkach, I.M. Kovalyov // Український математичний вісник. — 2017. — Т. 14, № 1. — С. 42-85. — Бібліогр.: 50 назв. — англ. 1810-3200 2010 MSC. Primary 30E05; Secondary 15B57, 46C20, 47A57. https://nasplib.isofts.kiev.ua/handle/123456789/169313 In the present paper we solve the indefinite Stieltjes moment problem MPkκ(s) within the M.G. Krein theory of u-resolvent matrices applied to a Pontryagin space symmetric operator A[0,N] generated by J[0,N]. The u-resolvent matrices of the operator A[0,N] are calculated in terms of generalized Stieltjes polynomials using the boundary triple’s technique. Criterions for the problem MPkκ(s) to be solvable and indeterminate are found. Explicit formulae for Pade approximants for generalized Stieltjes fraction in terms of generalized Stieltjes polynomials are also presented. en Інститут прикладної математики і механіки НАН України Український математичний вісник An operator approach to indefinite Stieltjes moment problem Article published earlier |
| spellingShingle | An operator approach to indefinite Stieltjes moment problem Derkach, V.A. Kovalyov, I.M. |
| title | An operator approach to indefinite Stieltjes moment problem |
| title_full | An operator approach to indefinite Stieltjes moment problem |
| title_fullStr | An operator approach to indefinite Stieltjes moment problem |
| title_full_unstemmed | An operator approach to indefinite Stieltjes moment problem |
| title_short | An operator approach to indefinite Stieltjes moment problem |
| title_sort | operator approach to indefinite stieltjes moment problem |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169313 |
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