Characterization of the Points of $ϕ$-Strong Summability of Fourier–Laplace Series for Functions of the Class $L_p(S^m),\; p > 1$
We consider the behavior of the ϕ-strong means of Fourier–Laplace series for functions that belong to $L_p(S^m),\; p > 1$, on a set of points of full measure on an $m$-dimensional sphere $S^m$.
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| Date: | 2003 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3886 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510017393786880 |
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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 | 2020-03-18T20:14:44Z |
| description | We consider the behavior of the ϕ-strong means of Fourier–Laplace series for functions that belong to $L_p(S^m),\; p > 1$, on a set of points of full measure on an $m$-dimensional sphere $S^m$. |
| first_indexed | 2026-03-24T02:50:18Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3886 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:50:18Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d1/0ca632777a29c987d45b3259391653d1.pdf |
| spelling | umjimathkievua-article-38862020-03-18T20:14:44Z Characterization of the Points of $ϕ$-Strong Summability of Fourier–Laplace Series for Functions of the Class $L_p(S^m),\; p > 1$ Характеристика точек $ϕ$-сильной суммируемости рядов Фурье - Лапласа функций класса $L_p(S^m),\; p > 1$ Lasuriya, R. A. Ласурия, Р. А. Ласурия, Р. А. We consider the behavior of the ϕ-strong means of Fourier–Laplace series for functions that belong to $L_p(S^m),\; p > 1$, on a set of points of full measure on an $m$-dimensional sphere $S^m$. Розглядається поведінка ф-сильпих середніх рядів Фур'е-Лапласа функцій із $L_p(S^m),\; p > 1$, па множині точок, що мають повну міру на $m$-вимірпій сфері $S^m$. Institute of Mathematics, NAS of Ukraine 2003-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3886 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 1 (2003); 45-54 Український математичний журнал; Том 55 № 1 (2003); 45-54 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3886/4487 https://umj.imath.kiev.ua/index.php/umj/article/view/3886/4488 Copyright (c) 2003 Lasuriya R. A. |
| spellingShingle | Lasuriya, R. A. Ласурия, Р. А. Ласурия, Р. А. Characterization of the Points of $ϕ$-Strong Summability of Fourier–Laplace Series for Functions of the Class $L_p(S^m),\; p > 1$ |
| title | Characterization of the Points of $ϕ$-Strong Summability of Fourier–Laplace Series for Functions of the Class $L_p(S^m),\; p > 1$ |
| title_alt | Характеристика точек $ϕ$-сильной суммируемости рядов Фурье - Лапласа функций класса $L_p(S^m),\; p > 1$ |
| title_full | Characterization of the Points of $ϕ$-Strong Summability of Fourier–Laplace Series for Functions of the Class $L_p(S^m),\; p > 1$ |
| title_fullStr | Characterization of the Points of $ϕ$-Strong Summability of Fourier–Laplace Series for Functions of the Class $L_p(S^m),\; p > 1$ |
| title_full_unstemmed | Characterization of the Points of $ϕ$-Strong Summability of Fourier–Laplace Series for Functions of the Class $L_p(S^m),\; p > 1$ |
| title_short | Characterization of the Points of $ϕ$-Strong Summability of Fourier–Laplace Series for Functions of the Class $L_p(S^m),\; p > 1$ |
| title_sort | characterization of the points of $ϕ$-strong summability of fourier–laplace series for functions of the class $l_p(s^m),\; p > 1$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3886 |
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