On the approximation of the function on the unite sphere by the spherical harmonic

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

Preview

PDF (Journal) - Published Version Download (516kB) | Preview

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)
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:	17 May 2024 10:25
URI:	http://irep.iium.edu.my/id/eprint/108831

Actions (login required)

View Item