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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| Дата: | 2017 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут прикладної математики і механіки НАН України
2017
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| Назва видання: | Український математичний вісник |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-169313 |
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| spelling |
irk-123456789-1693132020-06-11T01:26:20Z An operator approach to indefinite Stieltjes moment problem Derkach, V.A. Kovalyov, I.M. 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. 2017 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/169313 en Український математичний вісник 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 |
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. |
| format |
Article |
| author |
Derkach, V.A. Kovalyov, I.M. |
| spellingShingle |
Derkach, V.A. Kovalyov, I.M. An operator approach to indefinite Stieltjes moment problem Український математичний вісник |
| author_facet |
Derkach, V.A. Kovalyov, I.M. |
| author_sort |
Derkach, V.A. |
| title |
An operator approach to indefinite Stieltjes moment problem |
| title_short |
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_sort |
operator approach to indefinite stieltjes moment problem |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/169313 |
| 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. |
| series |
Український математичний вісник |
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2023-10-18T22:24:53Z |
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