Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
An operator approach to indefinite Stieltjes moment problem
Репозиторій DSpace/Manakin
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| dc.contributor.author | Derkach, V.A. | |
| dc.contributor.author | Kovalyov, I.M. | |
| dc.date.accessioned | 2020-06-10T13:35:31Z | |
| dc.date.available | 2020-06-10T13:35:31Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1810-3200 | |
| dc.identifier.other | 2010 MSC. Primary 30E05; Secondary 15B57, 46C20, 47A57. | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/169313 | |
| dc.description.abstract | 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут прикладної математики і механіки НАН України | uk_UA |
| dc.relation.ispartof | Український математичний вісник | |
| dc.title | An operator approach to indefinite Stieltjes moment problem | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
