Convergence of the FourierLaplace series in the spaces with mixed norm

Rakhimov, Abdumalik (2022) Convergence of the FourierLaplace series in the spaces with mixed norm. In: 6th International Conference on Mathematical Applications in Engineering (ICMAE’22), 9-10 August 2022, Virtual. (Unpublished)

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Abstract

Solution of some boundary value problems and initial problems in unique ball leads to the convergence and summability problems of Fourier series of given function by eigenfunctions of Laplace operator on a sphere - spherical harmonics. Such a series are called as Fourier-Laplace series on sphere. There are a number of works devoted investigation of these expansions in different topologies and for the functions from the various functional spaces. In this paper we study convergence and summability problems of the Fourier Laplace series on the unique sphere in the spaces with the mixed norm.

Item Type:	Conference or Workshop Item (Slide Presentation)
Uncontrolled Keywords:	Laplacian on sphere, Cezaro means, Reasz means, convergence, mixed norm
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:	04 Oct 2022 12:13
Last Modified:	04 Oct 2022 12:13
URI:	http://irep.iium.edu.my/id/eprint/100303

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