On Schur–Nevanlinna–Pick Indefinite Interpolation Problem
The Schur–Nevanlinna–Pick interpolation problem is considered in the class of generalized Schur functions and reduced to the problem of the extension of a certain isometric operator V that acts in the Pontryagin space. The description of the solutions of this problem is based on the theory of the re...
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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/4004 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510135780114432 |
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| author | Derkach, V. A. Деркач, В. А. Деркач, В. А. |
| author_facet | Derkach, V. A. Деркач, В. А. Деркач, В. А. |
| author_sort | Derkach, V. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:18:09Z |
| description | The Schur–Nevanlinna–Pick interpolation problem is considered in the class of generalized Schur functions and reduced to the problem of the extension of a certain isometric operator V that acts in the Pontryagin space. The description of the solutions of this problem is based on the theory of the resolvent matrix developed by Krein. |
| first_indexed | 2026-03-24T02:52:11Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4004 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:52:11Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/9a/3a5d9e70d367bc6aaaf8e9ad7ef1999a.pdf |
| spelling | umjimathkievua-article-40042020-03-18T20:18:09Z On Schur–Nevanlinna–Pick Indefinite Interpolation Problem Об индефинитной интерполяционной задаче Шура - Неванлинны - Пика Derkach, V. A. Деркач, В. А. Деркач, В. А. The Schur–Nevanlinna–Pick interpolation problem is considered in the class of generalized Schur functions and reduced to the problem of the extension of a certain isometric operator V that acts in the Pontryagin space. The description of the solutions of this problem is based on the theory of the resolvent matrix developed by Krein. Інтерполяційна задача Шура - Неваплінни - Піка, яка розглядається в класі узагальнених функцій Шура, зводиться до задачі розширення деякого ізометричного оператора $V$, що діє у просторі Понтрягіиа. Опис розв'язків задачі базується па теорії М. Г. Крейна резольвентно! матриці. Institute of Mathematics, NAS of Ukraine 2003-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4004 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 10 (2003); 1299-1315 Український математичний журнал; Том 55 № 10 (2003); 1299-1315 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4004/4720 https://umj.imath.kiev.ua/index.php/umj/article/view/4004/4721 Copyright (c) 2003 Derkach V. A. |
| spellingShingle | Derkach, V. A. Деркач, В. А. Деркач, В. А. On Schur–Nevanlinna–Pick Indefinite Interpolation Problem |
| title | On Schur–Nevanlinna–Pick Indefinite Interpolation Problem |
| title_alt | Об индефинитной интерполяционной задаче Шура - Неванлинны - Пика |
| title_full | On Schur–Nevanlinna–Pick Indefinite Interpolation Problem |
| title_fullStr | On Schur–Nevanlinna–Pick Indefinite Interpolation Problem |
| title_full_unstemmed | On Schur–Nevanlinna–Pick Indefinite Interpolation Problem |
| title_short | On Schur–Nevanlinna–Pick Indefinite Interpolation Problem |
| title_sort | on schur–nevanlinna–pick indefinite interpolation problem |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4004 |
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