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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Bibliographic Details
Main Author: Rakhimov, Abdumalik
Format: Article
Language:English
Published: Penerbit UMT 2023
Subjects:
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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Institution: Universiti Islam Antarabangsa Malaysia
Language: English