Absence of Localization of Fourier-Laplace Series

Journal
4th International Conference On Mathematical Sciences (Icms4): Mathematical Sciences: Championing The Way In A Problem Based And Data Driven Society
Date Issued
2017
Author(s)
bin Rasedee, AFN
Rakhimov, A
Ahmedov, AA
Ishak, N
Hamzah, SR
DOI
10.1063/1.4980983
Abstract
This article investigates a function f (x), constructed from the Nikol'skii class in S-2. The estimation obtained will show that the Riesz mean of the spectral expansions is unable to be strengthened due to absence of localization caused by a singualrity at a definite point f (x), on the sphere.