Rakhimov, Abdumalik (2023) On the approximation of the function on the unite sphere by the spherical harmonic. Journal of Mathematical Sciences and Informatics (JMSI). ISSN 2948-3697 (In Press)
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Official URL: https://journal.umt.edu.my/index.php/jmsi/article/...
Abstract
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
| Item Type: | Article (Journal) |
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| Uncontrolled Keywords: | Fourier series, sphere, harmonics, chesaro means |
| Subjects: | Q Science > QA Mathematics > QA300 Analysis |
| Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): | Kulliyyah of Engineering > Department of Science |
| Depositing User: | Professor Abdumalik Rakhimov |
| Date Deposited: | 18 Dec 2023 14:42 |
| Last Modified: | 18 Dec 2023 14:46 |
| URI: | http://irep.iium.edu.my/id/eprint/108831 |
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