On the sufficient conditions of the localization of the Fourier-Laplace series of distributions from liouville classes

In this work we investigate the localization principle of the Fourier-Laplace series of the distribution. Here we prove the sufficient conditions of the localization of the Riesz means of the spectral expansions of the Laplace-Beltrami operator on the unit sphere.

Bibliographic Details
Main Authors: Rakhimov, Abdumalik A., Ahmedov, Anvarjon A., Rasedee, hmad Fadly Nurullah
Format: Article
Language:English
Published: Institute of Physics Publishing (UK) 2013
Subjects:
Online Access:http://irep.iium.edu.my/33942/
http://irep.iium.edu.my/33942/
http://irep.iium.edu.my/33942/
http://irep.iium.edu.my/33942/1/ICAST_my_and_Fadly.pdf
Description
Summary:In this work we investigate the localization principle of the Fourier-Laplace series of the distribution. Here we prove the sufficient conditions of the localization of the Riesz means of the spectral expansions of the Laplace-Beltrami operator on the unit sphere.