Strong Karleman averages of multiple trigonometric Furier series
We prove the strong Carleman summability of the Fourier series of continuous functions on the m-dimensional torus, with partial sums constructed over polyhedra of a certain class.
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| Date: | 1992 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7842 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512788361773056 |
|---|---|
| author | Kuznetsova , О. I. Кузнецова , О. И. |
| author_facet | Kuznetsova , О. I. Кузнецова , О. И. |
| author_sort | Kuznetsova , О. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-09-27T12:27:08Z |
| description | We prove the strong Carleman summability of the Fourier series of continuous functions on the m-dimensional torus, with partial sums constructed over polyhedra of a certain class. |
| first_indexed | 2026-03-24T03:34:21Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-7842 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:34:21Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/fb/ee30f3a5cc747e018c8283b63e4483fb.pdf |
| spelling | umjimathkievua-article-78422023-09-27T12:27:08Z Strong Karleman averages of multiple trigonometric Furier series О сильных средних Карлемана кратных тригонометрических рядов Фурье Kuznetsova , О. I. Кузнецова , О. И. We prove the strong Carleman summability of the Fourier series of continuous functions on the m-dimensional torus, with partial sums constructed over polyhedra of a certain class. Доказана сильная суммируемость Карлемана рядов Фурье непрерывных на m-мерном торе функций, частичные суммы которых построены по полиэдрам некоторого класса. Доведена сильна сумовність Карлемана рядів Фур’є неперервних на m-вимірному торі функцій, часткові суми яких побудовані за поліедрами деякого класу. Institute of Mathematics, NAS of Ukraine 1992-02-28 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/7842 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 2 (1992); 275-279 Український математичний журнал; Том 44 № 2 (1992); 275-279 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/7842/9491 Copyright (c) 1992 О. I. Kuznetsova |
| spellingShingle | Kuznetsova , О. I. Кузнецова , О. И. Strong Karleman averages of multiple trigonometric Furier series |
| title | Strong Karleman averages of multiple trigonometric Furier series |
| title_alt | О сильных средних Карлемана кратных тригонометрических рядов Фурье |
| title_full | Strong Karleman averages of multiple trigonometric Furier series |
| title_fullStr | Strong Karleman averages of multiple trigonometric Furier series |
| title_full_unstemmed | Strong Karleman averages of multiple trigonometric Furier series |
| title_short | Strong Karleman averages of multiple trigonometric Furier series |
| title_sort | strong karleman averages of multiple trigonometric furier series |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7842 |
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