Strong summability of multiple Fourier series and Sidon-type inequalities
We study different versions of strong summation of N-dimensional Fourier series over polyhedrons and related estimates for integral norms of linear means of the Dirichlet kernels (Sidon-type inequalities).
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| Datum: | 1998 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4782 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510953092677632 |
|---|---|
| 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 | 2020-03-18T21:14:27Z |
| description | We study different versions of strong summation of N-dimensional Fourier series over polyhedrons and related estimates for integral norms of linear means of the Dirichlet kernels (Sidon-type inequalities). |
| first_indexed | 2026-03-24T03:05:11Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4782 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:05:11Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d2/5f38a5eea339cf459b2e03d440bb63d2.pdf |
| spelling | umjimathkievua-article-47822020-03-18T21:14:27Z Strong summability of multiple Fourier series and Sidon-type inequalities Сильная суммируемость кратных рядов Фурье и неравенства типа Сидона Kuznetsovci, O. I. Кузнецова, О. И. Кузнецова, О. И. We study different versions of strong summation of N-dimensional Fourier series over polyhedrons and related estimates for integral norms of linear means of the Dirichlet kernels (Sidon-type inequalities). Розглянуто різні варіанти сильного підсумовування по поліедрах $N$-вимірних рядів Фур'є та пов'язані з ними оцінки інтег ральних норм лінійних середніх ядер Діріхле (нерівності типу Сідона). Institute of Mathematics, NAS of Ukraine 1998-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4782 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 12 (1998); 1630–1635 Український математичний журнал; Том 50 № 12 (1998); 1630–1635 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4782/6264 https://umj.imath.kiev.ua/index.php/umj/article/view/4782/6265 Copyright (c) 1998 Kuznetsovci O. I. |
| spellingShingle | Kuznetsovci, O. I. Кузнецова, О. И. Кузнецова, О. И. Strong summability of multiple Fourier series and Sidon-type inequalities |
| title | Strong summability of multiple Fourier series and Sidon-type inequalities |
| title_alt | Сильная суммируемость кратных рядов Фурье и неравенства типа Сидона |
| title_full | Strong summability of multiple Fourier series and Sidon-type inequalities |
| title_fullStr | Strong summability of multiple Fourier series and Sidon-type inequalities |
| title_full_unstemmed | Strong summability of multiple Fourier series and Sidon-type inequalities |
| title_short | Strong summability of multiple Fourier series and Sidon-type inequalities |
| title_sort | strong summability of multiple fourier series and sidon-type inequalities |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4782 |
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