On the Pompeiu problem and its generalizations
Functions are investigated whose integrals over a given collection of sets are zero. Pompeiu sets are described in terms of the approximation of their indicators by linear combinations of the indicators of balls with special radii.
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| Datum: | 1993 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5949 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512172489048064 |
|---|---|
| author | Volchkov, V. V. Волчков, Вит. В. Волчков, Вит. В. |
| author_facet | Volchkov, V. V. Волчков, Вит. В. Волчков, Вит. В. |
| author_sort | Volchkov, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:21:43Z |
| description | Functions are investigated whose integrals over a given collection of sets are zero. Pompeiu sets are described in terms of the approximation of their indicators by linear combinations of the indicators of balls with special radii. |
| first_indexed | 2026-03-24T03:24:34Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5949 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:24:34Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/09/56bd0ab1c6c2c460a32e2a5de3f3ab09.pdf |
| spelling | umjimathkievua-article-59492020-03-19T09:21:43Z On the Pompeiu problem and its generalizations О проблеме Помпейю и некоторых ее обобщениях Volchkov, V. V. Волчков, Вит. В. Волчков, Вит. В. Functions are investigated whose integrals over a given collection of sets are zero. Pompeiu sets are described in terms of the approximation of their indicators by linear combinations of the indicators of balls with special radii. Досліджуються функції з нульовими інтегралами за даним набором множин. Одержано опис множин Помпейю в термінах апроксимації їх індикаторів лінійними комбінаціями індикаторів куль зі спеціальними радіусами. Institute of Mathematics, NAS of Ukraine 1993-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5949 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 10 (1993); 1444–1448 Український математичний журнал; Том 45 № 10 (1993); 1444–1448 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5949/8581 https://umj.imath.kiev.ua/index.php/umj/article/view/5949/8582 Copyright (c) 1993 Volchkov V. V. |
| spellingShingle | Volchkov, V. V. Волчков, Вит. В. Волчков, Вит. В. On the Pompeiu problem and its generalizations |
| title | On the Pompeiu problem and its generalizations |
| title_alt | О проблеме Помпейю и некоторых ее обобщениях |
| title_full | On the Pompeiu problem and its generalizations |
| title_fullStr | On the Pompeiu problem and its generalizations |
| title_full_unstemmed | On the Pompeiu problem and its generalizations |
| title_short | On the Pompeiu problem and its generalizations |
| title_sort | on the pompeiu problem and its generalizations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5949 |
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