Absence of localization of Fourier-Laplace series

• Main Authors: Rasedee, Ahmad Fadly Nurullah, Rakhimov, Abdumalik, Ahmedov, Anvarjon A., Ishak, Norizarina, Hamzah, Siti Raihana
• Format: Conference or Workshop Item
• Language: English; English; English
• Published: American Institute of Physics 2017
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/58160/7/58160-Absence%20of%20Localization%20of%20Fourier-Laplace%20Series.pdf; http://irep.iium.edu.my/58160/8/58160-Absence%20of%20localization%20of%20Fourier-Laplace%20series_SCOPUS.pdf; http://irep.iium.edu.my/58160/19/58160%20Absence%20of%20localization%20of%20Fourier-Laplace%20series%20WOS.pdf; http://irep.iium.edu.my/58160/; http://aip.scitation.org/doi/abs/10.1063/1.4980983
• Institution: Universiti Islam Antarabangsa Malaysia

This article investigates a function f(x), constructed from the Nikol’skii class in S2. 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