Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case)
A criterion of harmonicity of functions in a Hilbert space is given in the case of weakened mutual dependence of the second derivatives.
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5709 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511934047059968 |
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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 | 2020-03-19T09:16:03Z |
| description | A criterion of harmonicity of functions in a Hilbert space is given in the case of weakened mutual dependence of the second derivatives. |
| first_indexed | 2026-03-24T03:20:46Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5709 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:20:46Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/70/5ceef1ba28d36d12620151b585270570.pdf |
| spelling | umjimathkievua-article-57092020-03-19T09:16:03Z Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case) Необходимое и достаточное условие гармоничности функций бесконечного числа переменных (якобиевый 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 weakened mutual dependence of the second derivatives. Наведено критерій гармонічності функцій на гільберіовоме просторі у випадку, коли взаємна залежність других похідних послаблюється. Institute of Mathematics, NAS of Ukraine 1994-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5709 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 6 (1994); 785–788 Український математичний журнал; Том 46 № 6 (1994); 785–788 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5709/8103 https://umj.imath.kiev.ua/index.php/umj/article/view/5709/8104 Copyright (c) 1994 Feller M. N. |
| spellingShingle | Feller, M. N. Феллер, М. Н. Феллер, М. Н. Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case) |
| title | Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case) |
| title_alt | Необходимое и достаточное условие гармоничности функций бесконечного числа переменных (якобиевый случай) |
| title_full | Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case) |
| title_fullStr | Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case) |
| title_full_unstemmed | Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case) |
| title_short | Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case) |
| title_sort | necessary and sufficient conditions of harmonicity of functions of infinitely many variables (jacobian case) |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5709 |
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