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

• Main Authors: Akhmedov, Anvarjon, Rasedee, Ahmad Fadly Nurullah, Rakhimov, Abdumalik
• Format: Conference or Workshop Item
• Language: English
• Published: Institute of Physics Publishing (UK) 2013
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/30454/1/ICAST_my_and_Fadly.pdf; http://irep.iium.edu.my/30454/; http://iopscience.iop.org/1742-6596/435/1/012016
• Institution: Universiti Islam Antarabangsa Malaysia

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