On the integration of one class ofN-dimensional trigonometric series
We prove new sufficient conditions for the integrability ofN-dimensional trigonometric series, which follow from unimprovable Sidon-type inequalities.
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| Datum: | 2000 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2000
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4479 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510607448473600 |
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| author | Kuznetsovci, O. I. Кузнецова, О. И. Кузнецова, О. И. |
| author_facet | Kuznetsovci, O. I. Кузнецова, О. И. Кузнецова, О. И. |
| author_sort | Kuznetsovci, O. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:29:37Z |
| description | We prove new sufficient conditions for the integrability ofN-dimensional trigonometric series, which follow from unimprovable Sidon-type inequalities. |
| first_indexed | 2026-03-24T02:59:41Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4479 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:59:41Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/67/fb429b1e4c370def17b057840aae2967.pdf |
| spelling | umjimathkievua-article-44792020-03-18T20:29:37Z On the integration of one class ofN-dimensional trigonometric series Об интегрировании одного класса $N$-мерных тригонометрических рядов Kuznetsovci, O. I. Кузнецова, О. И. Кузнецова, О. И. We prove new sufficient conditions for the integrability ofN-dimensional trigonometric series, which follow from unimprovable Sidon-type inequalities. Доведено нові достатні умови интегровності $N$-вимірних тригонометричних рядів, що випливають з неполіпшуваних нерівностей типу нерівності Сидона. Institute of Mathematics, NAS of Ukraine 2000-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4479 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 6 (2000); 837–840 Український математичний журнал; Том 52 № 6 (2000); 837–840 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4479/5662 https://umj.imath.kiev.ua/index.php/umj/article/view/4479/5663 Copyright (c) 2000 Kuznetsovci O. I. |
| spellingShingle | Kuznetsovci, O. I. Кузнецова, О. И. Кузнецова, О. И. On the integration of one class ofN-dimensional trigonometric series |
| title | On the integration of one class ofN-dimensional trigonometric series |
| title_alt | Об интегрировании одного класса $N$-мерных тригонометрических рядов |
| title_full | On the integration of one class ofN-dimensional trigonometric series |
| title_fullStr | On the integration of one class ofN-dimensional trigonometric series |
| title_full_unstemmed | On the integration of one class ofN-dimensional trigonometric series |
| title_short | On the integration of one class ofN-dimensional trigonometric series |
| title_sort | on the integration of one class ofn-dimensional trigonometric series |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4479 |
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