On the structure of sets of $ σ$-monogeneity for continuous functions
The notion of the sets of σ-monogeneity for continuous functions is introduced which makes it possible to study pseudo-analytic properties of these functions. The theorem on the structure of these sets is proved.
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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/5802 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512023612227584 |
|---|---|
| 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 | 2020-03-19T09:18:17Z |
| description | The notion of the sets of σ-monogeneity for continuous functions is introduced which makes it possible to study pseudo-analytic properties of these functions. The theorem on the structure of these sets is proved. |
| first_indexed | 2026-03-24T03:22:12Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5802 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:12Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/46/23196128b8a21e54ffca2d5f2cc7d246.pdf |
| spelling | umjimathkievua-article-58022020-03-19T09:18:17Z On the structure of sets of $ σ$-monogeneity for continuous functions О структуре множеств $ σ$-моноген пости непрерывных функци Bondar, A. V. Lukyanova, E. A. Бондарь, А. В. Лукьянова, Е. А. Бондарь, А. В. Лукьянова, Е. А. The notion of the sets of σ-monogeneity for continuous functions is introduced which makes it possible to study pseudo-analytic properties of these functions. The theorem on the structure of these sets is proved. Вводиться поняття множин $ σ$-моногенності неперервних функцій, які дозволяють досліджувати їх псевдоаналітичні властивості. Доводиться теорема про структуру цих множин. Institute of Mathematics, NAS of Ukraine 1993-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5802 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 2 (1993); 226–232 Український математичний журнал; Том 45 № 2 (1993); 226–232 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5802/8287 https://umj.imath.kiev.ua/index.php/umj/article/view/5802/8288 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 the structure of sets of $ σ$-monogeneity for continuous functions |
| title | On the structure of sets of $ σ$-monogeneity for continuous functions |
| title_alt | О структуре множеств $ σ$-моноген пости непрерывных функци |
| title_full | On the structure of sets of $ σ$-monogeneity for continuous functions |
| title_fullStr | On the structure of sets of $ σ$-monogeneity for continuous functions |
| title_full_unstemmed | On the structure of sets of $ σ$-monogeneity for continuous functions |
| title_short | On the structure of sets of $ σ$-monogeneity for continuous functions |
| title_sort | on the structure of sets of $ σ$-monogeneity for continuous functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5802 |
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