Pseudoanalyticity of continuous functions with the ?-preservation of angles
The following theorem is proved: Every continuous function satisfying the condition $K'_{\sigma}$ is pseudo-analytic. The condition $K'_{\sigma}$ is a generalization of the Men'shov condition, well known in the theory of analytic functions.
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| Дата: | 1993 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1993
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5899 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512119074586624 |
|---|---|
| author | Bondar, A. V. Lukyanova, E. A. Бондарь, А. В. Лукьянова, Е. А. Бондарь, А. В. Лукьянова, Е. А. |
| author_facet | Bondar, A. V. Lukyanova, E. A. Бондарь, А. В. Лукьянова, Е. А. Бондарь, А. В. Лукьянова, Е. А. |
| author_sort | Bondar, A. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:20:26Z |
| description | The following theorem is proved: Every continuous function satisfying the condition $K'_{\sigma}$ is pseudo-analytic. The condition $K'_{\sigma}$ is a generalization of the Men'shov condition, well known in the theory of analytic functions. |
| first_indexed | 2026-03-24T03:23:43Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5899 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:43Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/0b/3354ab3b03fe045dda598460880c000b.pdf |
| spelling | umjimathkievua-article-58992020-03-19T09:20:26Z Pseudoanalyticity of continuous functions with the ?-preservation of angles О псевдоаналитичности непрерывных функций, обладающих σ-консерватизмом углов Bondar, A. V. Lukyanova, E. A. Бондарь, А. В. Лукьянова, Е. А. Бондарь, А. В. Лукьянова, Е. А. The following theorem is proved: Every continuous function satisfying the condition $K'_{\sigma}$ is pseudo-analytic. The condition $K'_{\sigma}$ is a generalization of the Men'shov condition, well known in the theory of analytic functions. Доводиться теорема про псевдоаналітичність неперервних функцій, які задовольняють умові $K'_{\sigma}$, що є узагальненням відомої умови Д. Є. Меньшова з теорії аналітичних функцій. Institute of Mathematics, NAS of Ukraine 1993-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5899 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 8 (1993); 1051–1057 Український математичний журнал; Том 45 № 8 (1993); 1051–1057 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5899/8481 https://umj.imath.kiev.ua/index.php/umj/article/view/5899/8482 Copyright (c) 1993 Bondar A. V.; Lukyanova E. A. |
| spellingShingle | Bondar, A. V. Lukyanova, E. A. Бондарь, А. В. Лукьянова, Е. А. Бондарь, А. В. Лукьянова, Е. А. Pseudoanalyticity of continuous functions with the ?-preservation of angles |
| title | Pseudoanalyticity of continuous functions with the ?-preservation of angles |
| title_alt | О псевдоаналитичности непрерывных функций, обладающих σ-консерватизмом углов |
| title_full | Pseudoanalyticity of continuous functions with the ?-preservation of angles |
| title_fullStr | Pseudoanalyticity of continuous functions with the ?-preservation of angles |
| title_full_unstemmed | Pseudoanalyticity of continuous functions with the ?-preservation of angles |
| title_short | Pseudoanalyticity of continuous functions with the ?-preservation of angles |
| title_sort | pseudoanalyticity of continuous functions with the ?-preservation of angles |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5899 |
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