The characteristics of points of strong summability of the Fourier - Laplace series for functions from the class $L(S^m)$ in the case of critical indicator
We announce the result that enables one to determine fairly constructive characteristics of a set of points of full measure on a sphere $L(S^m)$ at which the strong means converge to a given function $f(\cdot)$.
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| Date: | 2002 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4181 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510313614409728 |
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| author | Lasuriya, R. A. Ласурия, Р. А. Ласурия, Р. А. |
| author_facet | Lasuriya, R. A. Ласурия, Р. А. Ласурия, Р. А. |
| author_sort | Lasuriya, R. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:23:51Z |
| description | We announce the result that enables one to determine fairly constructive characteristics of a set of points
of full measure on a sphere $L(S^m)$ at which the strong means converge to a given function $f(\cdot)$. |
| first_indexed | 2026-03-24T02:55:01Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4181 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T02:55:01Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b0/be28d932017b1db48ae10750fc5834b0.pdf |
| spelling | umjimathkievua-article-41812020-03-18T20:23:51Z The characteristics of points of strong summability of the Fourier - Laplace series for functions from the class $L(S^m)$ in the case of critical indicator Характеристика точек сильной суммируемости рядов Фурье - Лапласа функций класса $L(S^m)$ при критическом показателе Lasuriya, R. A. Ласурия, Р. А. Ласурия, Р. А. We announce the result that enables one to determine fairly constructive characteristics of a set of points of full measure on a sphere $L(S^m)$ at which the strong means converge to a given function $f(\cdot)$. Анонсується результат, згідно з яким вказується досить конструктивна характеристика множини точок повної міри па сфері $L(S^m)$ в яких сильні середні збігаються до даної функції $f(\cdot)$. Institute of Mathematics, NAS of Ukraine 2002-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4181 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 10 (2002); 1437-1439 Український математичний журнал; Том 54 № 10 (2002); 1437-1439 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/4181/5071 Copyright (c) 2002 Lasuriya R. A. |
| spellingShingle | Lasuriya, R. A. Ласурия, Р. А. Ласурия, Р. А. The characteristics of points of strong summability of the Fourier - Laplace series for functions from the class $L(S^m)$ in the case of critical indicator |
| title | The characteristics of points of strong summability of the Fourier - Laplace
series for functions from the class $L(S^m)$ in the case of critical indicator |
| title_alt | Характеристика точек сильной суммируемости рядов Фурье - Лапласа
функций класса $L(S^m)$ при критическом показателе |
| title_full | The characteristics of points of strong summability of the Fourier - Laplace
series for functions from the class $L(S^m)$ in the case of critical indicator |
| title_fullStr | The characteristics of points of strong summability of the Fourier - Laplace
series for functions from the class $L(S^m)$ in the case of critical indicator |
| title_full_unstemmed | The characteristics of points of strong summability of the Fourier - Laplace
series for functions from the class $L(S^m)$ in the case of critical indicator |
| title_short | The characteristics of points of strong summability of the Fourier - Laplace
series for functions from the class $L(S^m)$ in the case of critical indicator |
| title_sort | characteristics of points of strong summability of the fourier - laplace
series for functions from the class $l(s^m)$ in the case of critical indicator |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4181 |
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