On pseudoanalyticity of continuous functions with constant $σ$-extension
The theorem on pseudoanalyticity of continuous functions with constant $σ$-extension is proved; this is an analog of the well known results due to Bohr, Rademacher, Men'shov, and Trokhimchuk concerning the analyticity of functions with constant extension.
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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/5832 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512053395980288 |
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| 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 | 2020-03-19T09:18:55Z |
| description | The theorem on pseudoanalyticity of continuous functions with constant $σ$-extension is proved; this is an analog of the well known results due to Bohr, Rademacher, Men'shov, and Trokhimchuk concerning the analyticity of functions with constant extension. |
| first_indexed | 2026-03-24T03:22:40Z |
| format | Article |
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| id | umjimathkievua-article-5832 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:40Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7d/0bbe99858227d0f0805f00646bc7487d.pdf |
| spelling | umjimathkievua-article-58322020-03-19T09:18:55Z On pseudoanalyticity of continuous functions with constant $σ$-extension О псевдоаналитичности непрерывных функций с постоянным $σ$-растяжением Bondar, A. V. Lukyanova, E. A. Бондарь, А. В. Лукьянова, Е. А. Бондарь, А. В. Лукьянова, Е. А. The theorem on pseudoanalyticity of continuous functions with constant $σ$-extension is proved; this is an analog of the well known results due to Bohr, Rademacher, Men'shov, and Trokhimchuk concerning the analyticity of functions with constant extension. Доказывается теорема о псевдоаналитичности непрерывных функций, обладающих постоянным $σ$-растяжением, являющаяся аналогом известных результатов Бора, Радемахсра, Меньшова, Трохимчука об аналитичности функций, обладающих постоянным растяжением. Institute of Mathematics, NAS of Ukraine 1993-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5832 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 4 (1993); 459–465 Український математичний журнал; Том 45 № 4 (1993); 459–465 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5832/8347 https://umj.imath.kiev.ua/index.php/umj/article/view/5832/8348 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. On pseudoanalyticity of continuous functions with constant $σ$-extension |
| title | On pseudoanalyticity of continuous functions with constant $σ$-extension |
| title_alt | О псевдоаналитичности непрерывных функций с постоянным $σ$-растяжением |
| title_full | On pseudoanalyticity of continuous functions with constant $σ$-extension |
| title_fullStr | On pseudoanalyticity of continuous functions with constant $σ$-extension |
| title_full_unstemmed | On pseudoanalyticity of continuous functions with constant $σ$-extension |
| title_short | On pseudoanalyticity of continuous functions with constant $σ$-extension |
| title_sort | on pseudoanalyticity of continuous functions with constant $σ$-extension |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5832 |
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