New condition of harmonicity of functions of infinitely many variables (translation nonpositive case)
A criterion of harmonicity of functions in a Hilbert space is given in the case of nonnegative second derivatives without using an assumption that they are mutually independent. This assumption is replaced by a weaker condition.
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| Datum: | 1994 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5605 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511835684339712 |
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| author | Feller, M. N. Феллер, М. Н. Феллер, М. Н. |
| author_facet | Feller, M. N. Феллер, М. Н. Феллер, М. Н. |
| author_sort | Feller, M. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:14:13Z |
| description | A criterion of harmonicity of functions in a Hilbert space is given in the case of nonnegative second derivatives without using an assumption that they are mutually independent. This assumption is replaced by a weaker condition. |
| first_indexed | 2026-03-24T03:19:12Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5605 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:19:12Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d6/fcd9a2138f047c7e7eea192fcaf44cd6.pdf |
| spelling | umjimathkievua-article-56052020-03-19T09:14:13Z New condition of harmonicity of functions of infinitely many variables (translation nonpositive case) Еще одно условие гармоничности функций бесконечного числа переменных (граисляционно неположительный случай) Feller, M. N. Феллер, М. Н. Феллер, М. Н. A criterion of harmonicity of functions in a Hilbert space is given in the case of nonnegative second derivatives without using an assumption that they are mutually independent. This assumption is replaced by a weaker condition. Наведено критерій гармонічності функцій на гільбертовому просторі у випадку, коли другі похідні невід'ємні. При цьому зовсім відсутнє припущення про їх взаємну незалежність, яке замінюється іншою, більш слабкою умовою. Institute of Mathematics, NAS of Ukraine 1994-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5605 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 11 (1994); 1602-1605 Український математичний журнал; Том 46 № 11 (1994); 1602-1605 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5605/7895 https://umj.imath.kiev.ua/index.php/umj/article/view/5605/7896 Copyright (c) 1994 Feller M. N. |
| spellingShingle | Feller, M. N. Феллер, М. Н. Феллер, М. Н. New condition of harmonicity of functions of infinitely many variables (translation nonpositive case) |
| title | New condition of harmonicity of functions of infinitely many variables (translation nonpositive case) |
| title_alt | Еще одно условие гармоничности функций бесконечного числа переменных
(граисляционно неположительный случай) |
| title_full | New condition of harmonicity of functions of infinitely many variables (translation nonpositive case) |
| title_fullStr | New condition of harmonicity of functions of infinitely many variables (translation nonpositive case) |
| title_full_unstemmed | New condition of harmonicity of functions of infinitely many variables (translation nonpositive case) |
| title_short | New condition of harmonicity of functions of infinitely many variables (translation nonpositive case) |
| title_sort | new condition of harmonicity of functions of infinitely many variables (translation nonpositive case) |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5605 |
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