An Interpolation Problem in the Class $R[a,b]$
We consider an interpolation problem for matrix functions of the class $R[a,b]$. In the nondegenerate case, we describe all solutions in terms of fractional linear transformations. An explicit formula for the resolvent matrix is obtained.
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| Date: | 2003 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3980 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510111093489664 |
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| author | Dyukarev, Yu. M. Choque, Rivero A. E. Дюкарев, Ю. М. Чоке, Риверо А. Е. Дюкарев, Ю. М. Чоке, Риверо А. Е. |
| author_facet | Dyukarev, Yu. M. Choque, Rivero A. E. Дюкарев, Ю. М. Чоке, Риверо А. Е. Дюкарев, Ю. М. Чоке, Риверо А. Е. |
| author_sort | Dyukarev, Yu. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:17:34Z |
| description | We consider an interpolation problem for matrix functions of the class $R[a,b]$. In the nondegenerate case, we describe all solutions in terms of fractional linear transformations. An explicit formula for the resolvent matrix is obtained. |
| first_indexed | 2026-03-24T02:51:48Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3980 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:51:48Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/86/4aed28ab6e48668958d652983e71fa86.pdf |
| spelling | umjimathkievua-article-39802020-03-18T20:17:34Z An Interpolation Problem in the Class $R[a,b]$ Интерполяционная задача в классе $R[a,b]$ Dyukarev, Yu. M. Choque, Rivero A. E. Дюкарев, Ю. М. Чоке, Риверо А. Е. Дюкарев, Ю. М. Чоке, Риверо А. Е. We consider an interpolation problem for matrix functions of the class $R[a,b]$. In the nondegenerate case, we describe all solutions in terms of fractional linear transformations. An explicit formula for the resolvent matrix is obtained. Розглянуто інтерполяційну задачу для матриць-функцій класу $R[a,b]$. У невиродженому випадку всі розв'язки описано у термінах дробово-лінійних перетворень. Отримано явну формулу для резольвентної матриці. Institute of Mathematics, NAS of Ukraine 2003-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3980 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 8 (2003); 1044-1057 Український математичний журнал; Том 55 № 8 (2003); 1044-1057 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3980/4672 https://umj.imath.kiev.ua/index.php/umj/article/view/3980/4673 Copyright (c) 2003 Dyukarev Yu. M.; Choque Rivero A. E. |
| spellingShingle | Dyukarev, Yu. M. Choque, Rivero A. E. Дюкарев, Ю. М. Чоке, Риверо А. Е. Дюкарев, Ю. М. Чоке, Риверо А. Е. An Interpolation Problem in the Class $R[a,b]$ |
| title | An Interpolation Problem in the Class $R[a,b]$ |
| title_alt | Интерполяционная задача в классе $R[a,b]$ |
| title_full | An Interpolation Problem in the Class $R[a,b]$ |
| title_fullStr | An Interpolation Problem in the Class $R[a,b]$ |
| title_full_unstemmed | An Interpolation Problem in the Class $R[a,b]$ |
| title_short | An Interpolation Problem in the Class $R[a,b]$ |
| title_sort | interpolation problem in the class $r[a,b]$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3980 |
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