On zeros of functions analytic in a half plane and completeness of systems of exponents
Sequences of zeros are described for functions $f$ analytic in the right halfplanc and satisfying the condition $|f(z)| \leq 0(1) \exp (\sigma|z|),\quad 0 \leq \sigma \leq \infty$ criterion of completeness of a system of exponentials in a space of functions analytic in a semistrip is established.
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| Datum: | 1994 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5712 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511937799913472 |
|---|---|
| author | Vynnyts’kyi, B. V. Винницкий, Б. В. Винницкий, Б. В. |
| author_facet | Vynnyts’kyi, B. V. Винницкий, Б. В. Винницкий, Б. В. |
| author_sort | Vynnyts’kyi, B. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:22Z |
| description | Sequences of zeros are described for functions $f$ analytic in the right halfplanc and satisfying the condition
$|f(z)| \leq 0(1) \exp (\sigma|z|),\quad 0 \leq \sigma \leq \infty$ criterion of completeness of a system of exponentials in a space of functions analytic in a semistrip is established. |
| first_indexed | 2026-03-24T03:20:50Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5712 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:20:50Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/0a/f618759ee32bcb6bea0b9b53fd1c500a.pdf |
| spelling | umjimathkievua-article-57122020-03-19T09:16:22Z On zeros of functions analytic in a half plane and completeness of systems of exponents О нулях функций, аналитических в полуплоскости, и полноте систем экспонент Vynnyts’kyi, B. V. Винницкий, Б. В. Винницкий, Б. В. Sequences of zeros are described for functions $f$ analytic in the right halfplanc and satisfying the condition $|f(z)| \leq 0(1) \exp (\sigma|z|),\quad 0 \leq \sigma \leq \infty$ criterion of completeness of a system of exponentials in a space of functions analytic in a semistrip is established. Описано послідовності нулів аналітичних в правій півплоїцині функцій $f$ , які задовольняють там умову $|f(z)| \leq 0(1) \exp (\sigma|z|),\quad 0 \leq \sigma \leq \infty$ . Знайдено критерій повноти систем експонент в одному просторі функцій, аналітичних в півсмузі. Institute of Mathematics, NAS of Ukraine 1994-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5712 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 5 (1994); 484–500 Український математичний журнал; Том 46 № 5 (1994); 484–500 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5712/8109 https://umj.imath.kiev.ua/index.php/umj/article/view/5712/8110 Copyright (c) 1994 Vynnyts’kyi B. V. |
| spellingShingle | Vynnyts’kyi, B. V. Винницкий, Б. В. Винницкий, Б. В. On zeros of functions analytic in a half plane and completeness of systems of exponents |
| title | On zeros of functions analytic in a half plane and completeness of systems of exponents |
| title_alt | О нулях функций, аналитических в полуплоскости, и полноте систем экспонент |
| title_full | On zeros of functions analytic in a half plane and completeness of systems of exponents |
| title_fullStr | On zeros of functions analytic in a half plane and completeness of systems of exponents |
| title_full_unstemmed | On zeros of functions analytic in a half plane and completeness of systems of exponents |
| title_short | On zeros of functions analytic in a half plane and completeness of systems of exponents |
| title_sort | on zeros of functions analytic in a half plane and completeness of systems of exponents |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5712 |
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