Continuation of positively determined functions on the ball in the infinite sphere
It is shown that every positive definite function on a ball in an infinite-dimensional sphere can be extended to a positive definite function on the whole sphere, and the extension is moreover unique.
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| Datum: | 1992 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7890 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512804351508480 |
|---|---|
| author | Kuznetsova , О. M. Кузнецова , О. М. |
| author_facet | Kuznetsova , О. M. Кузнецова , О. М. |
| author_sort | Kuznetsova , О. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-10-26T11:41:49Z |
| description | It is shown that every positive definite function on a ball in an infinite-dimensional sphere can be extended to a positive definite function on the whole sphere, and the extension is moreover unique. |
| first_indexed | 2026-03-24T03:34:36Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-7890 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:34:36Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c8/dbbf3c6f3677c6712bbd37b37c6005c8.pdf |
| spelling | umjimathkievua-article-78902023-10-26T11:41:49Z Continuation of positively determined functions on the ball in the infinite sphere О продолжении положительно определенных функций на шаре в бесконечномерной Kuznetsova , О. M. Кузнецова , О. М. It is shown that every positive definite function on a ball in an infinite-dimensional sphere can be extended to a positive definite function on the whole sphere, and the extension is moreover unique. Показано, что у каждой положительно определенной функции на шаре в бесконечномерной сфере существует, причем единственное, положительно определенное продолжение на всю сферу. Показано, що у кожної додатно визначеної функції на кулі в нескінченновимірній сфері існує, причому єдине, додатно визначене продовження на всю сферу. Institute of Mathematics, NAS of Ukraine 1992-04-17 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/7890 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 4 (1992); 489-497 Український математичний журнал; Том 44 № 4 (1992); 489-497 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/7890/9524 Copyright (c) 1992 О. M. Kuznetsova |
| spellingShingle | Kuznetsova , О. M. Кузнецова , О. М. Continuation of positively determined functions on the ball in the infinite sphere |
| title | Continuation of positively determined functions on the ball in the infinite sphere |
| title_alt | О продолжении положительно определенных функций на шаре в бесконечномерной |
| title_full | Continuation of positively determined functions on the ball in the infinite sphere |
| title_fullStr | Continuation of positively determined functions on the ball in the infinite sphere |
| title_full_unstemmed | Continuation of positively determined functions on the ball in the infinite sphere |
| title_short | Continuation of positively determined functions on the ball in the infinite sphere |
| title_sort | continuation of positively determined functions on the ball in the infinite sphere |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7890 |
| work_keys_str_mv | AT kuznetsovaom continuationofpositivelydeterminedfunctionsontheballintheinfinitesphere AT kuznecovaom continuationofpositivelydeterminedfunctionsontheballintheinfinitesphere AT kuznetsovaom oprodolženiipoložitelʹnoopredelennyhfunkcijnašarevbeskonečnomernoj AT kuznecovaom oprodolženiipoložitelʹnoopredelennyhfunkcijnašarevbeskonečnomernoj |