On the analyticity of the Fourier original and Fourier transform inside alternate angles
We prove that a Fourier image is an analytic function inside two alternate angles if the Fourier preimage possesses the same property.
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| Date: | 1999 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian 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/4655 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510811017969664 |
|---|---|
| author | Cherskii, Yu. I. Черский, Ю. И. Черский, Ю. И. |
| author_facet | Cherskii, Yu. I. Черский, Ю. И. Черский, Ю. И. |
| author_sort | Cherskii, Yu. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:10:38Z |
| description | We prove that a Fourier image is an analytic function inside two alternate angles if the Fourier preimage possesses the same property. |
| first_indexed | 2026-03-24T03:02:55Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4655 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:02:55Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a8/48d38a70882291ba45f28e4e6dfdb7a8.pdf |
| spelling | umjimathkievua-article-46552020-03-18T21:10:38Z On the analyticity of the Fourier original and Fourier transform inside alternate angles Об аналитичности Фурье-оригинала и Фурье-образа внутри противолежащих углов Cherskii, Yu. I. Черский, Ю. И. Черский, Ю. И. We prove that a Fourier image is an analytic function inside two alternate angles if the Fourier preimage possesses the same property. Доведено, що образ Фур'є с аналітичною функцією всередині двох протилежних кутів, якщо оригінал Фур'є мас аналогічну властивість. Institute of Mathematics, NAS of Ukraine 1999-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4655 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 5 (1999); 703–707 Український математичний журнал; Том 51 № 5 (1999); 703–707 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4655/6012 https://umj.imath.kiev.ua/index.php/umj/article/view/4655/6013 Copyright (c) 1999 Cherskii Yu. I. |
| spellingShingle | Cherskii, Yu. I. Черский, Ю. И. Черский, Ю. И. On the analyticity of the Fourier original and Fourier transform inside alternate angles |
| title | On the analyticity of the Fourier original and Fourier transform inside alternate angles |
| title_alt | Об аналитичности Фурье-оригинала и Фурье-образа внутри противолежащих углов |
| title_full | On the analyticity of the Fourier original and Fourier transform inside alternate angles |
| title_fullStr | On the analyticity of the Fourier original and Fourier transform inside alternate angles |
| title_full_unstemmed | On the analyticity of the Fourier original and Fourier transform inside alternate angles |
| title_short | On the analyticity of the Fourier original and Fourier transform inside alternate angles |
| title_sort | on the analyticity of the fourier original and fourier transform inside alternate angles |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4655 |
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