On the absolute convergence of power series
We obtain a two-dimensional analog of the Hardy-Littlewood result on the absolute convergence of power series in the case of multiple series on the boundary of a unit polydisk.
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| Date: | 1999 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4647 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510800530112512 |
|---|---|
| author | Hembars'ka, S. B. Zaderei, P. V. Гембарська, С. В Задерей, П. В. |
| author_facet | Hembars'ka, S. B. Zaderei, P. V. Гембарська, С. В Задерей, П. В. |
| author_sort | Hembars'ka, S. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:10:38Z |
| description | We obtain a two-dimensional analog of the Hardy-Littlewood result on the absolute convergence of power series in the case of multiple series on the boundary of a unit polydisk. |
| first_indexed | 2026-03-24T03:02:45Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4647 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:02:45Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/69/f04203d84e06c85170ee924be3b5c869.pdf |
| spelling | umjimathkievua-article-46472020-03-18T21:10:38Z On the absolute convergence of power series Про абсолютну збіжність степеневих рядів Hembars'ka, S. B. Zaderei, P. V. Гембарська, С. В Задерей, П. В. We obtain a two-dimensional analog of the Hardy-Littlewood result on the absolute convergence of power series in the case of multiple series on the boundary of a unit polydisk. Одержано двовимірний аналог результату Харді і Літтлвуда про абсолютну збіжність степеневих рядів на випадок кратних рядів на межі одиничного полікруга. Institute of Mathematics, NAS of Ukraine 1999-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4647 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 5 (1999); 594–602 Український математичний журнал; Том 51 № 5 (1999); 594–602 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4647/5996 https://umj.imath.kiev.ua/index.php/umj/article/view/4647/5997 Copyright (c) 1999 Hembars'ka S. B.; Zaderei P. V. |
| spellingShingle | Hembars'ka, S. B. Zaderei, P. V. Гембарська, С. В Задерей, П. В. On the absolute convergence of power series |
| title | On the absolute convergence of power series |
| title_alt | Про абсолютну збіжність степеневих рядів |
| title_full | On the absolute convergence of power series |
| title_fullStr | On the absolute convergence of power series |
| title_full_unstemmed | On the absolute convergence of power series |
| title_short | On the absolute convergence of power series |
| title_sort | on the absolute convergence of power series |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4647 |
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