On the approximation of the function on the unite sphere by the spherical harmonic
In this paper we discuss convergence and summability of the Fourier series of distributions in the domains where it coincides with smooth functions in eigenfunction expansions of the Laplace operator on the unite sphere. We consider representation of the distributions defined on the unit sphere by i...
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2023
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| Online Access: | http://irep.iium.edu.my/108831/1/108831_On%20the%20approximation%20of%20the%20function.pdf http://irep.iium.edu.my/108831/ https://journal.umt.edu.my/index.php/jmsi/article/view/422 |
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my.iium.irep.1088312024-05-17T02:25:10Z http://irep.iium.edu.my/108831/ On the approximation of the function on the unite sphere by the spherical harmonic Rakhimov, Abdumalik QA300 Analysis In this paper we discuss convergence and summability of the Fourier series of distributions in the domains where it coincides with smooth functions in eigenfunction expansions of the Laplace operator on the unite sphere. We consider representation of the distributions defined on the unit sphere by its Fourier-Laplace series by the spherical harmonics in different topologies. Mainly we study the Chesaro method of summation such a series Penerbit UMT 2023-12-07 Article PeerReviewed application/pdf en http://irep.iium.edu.my/108831/1/108831_On%20the%20approximation%20of%20the%20function.pdf Rakhimov, Abdumalik (2023) On the approximation of the function on the unite sphere by the spherical harmonic. Journal of Mathematical Sciences and Informatics (JMSI), 3 (2). ISSN 2948-3697 https://journal.umt.edu.my/index.php/jmsi/article/view/422 |
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QA300 Analysis |
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QA300 Analysis Rakhimov, Abdumalik On the approximation of the function on the unite sphere by the spherical harmonic |
| description |
In this paper we discuss convergence and summability of the Fourier series of distributions in the domains where it coincides with smooth functions in eigenfunction expansions of the Laplace operator on the unite sphere. We consider representation of the distributions defined on the unit sphere by its Fourier-Laplace series by the spherical harmonics in different topologies. Mainly we study the Chesaro method of summation such a series |
| format |
Article |
| author |
Rakhimov, Abdumalik |
| author_facet |
Rakhimov, Abdumalik |
| author_sort |
Rakhimov, Abdumalik |
| title |
On the approximation of the function on the unite sphere by the spherical harmonic |
| title_short |
On the approximation of the function on the unite sphere by the spherical harmonic |
| title_full |
On the approximation of the function on the unite sphere by the spherical harmonic |
| title_fullStr |
On the approximation of the function on the unite sphere by the spherical harmonic |
| title_full_unstemmed |
On the approximation of the function on the unite sphere by the spherical harmonic |
| title_sort |
on the approximation of the function on the unite sphere by the spherical harmonic |
| publisher |
Penerbit UMT |
| publishDate |
2023 |
| url |
http://irep.iium.edu.my/108831/1/108831_On%20the%20approximation%20of%20the%20function.pdf http://irep.iium.edu.my/108831/ https://journal.umt.edu.my/index.php/jmsi/article/view/422 |
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1800081771567513600 |