Summabilty of the Fourier-Laplace series in the Nikol’skii spaces

• Main Author: Rakhimov, Abdumalik
• Format: Proceeding Paper
• Language: English; English
• Published: AIP Publishing 2023
• Subjects: QA297 Numerical Analysis
• Online Access: http://irep.iium.edu.my/106671/1/106671_Summabilty%20of%20the%20Fourier-Laplace%20series.pdf; http://irep.iium.edu.my/106671/7/106671_Summabilty%20of%20the%20Fourier-Laplace%20series%20in%20the%20Nikol%27skii%20spaces%20_%20SCOPUS.pdf; http://irep.iium.edu.my/106671/; https://pubs.aip.org/aip/acp/article/2880/1/040002/2908425/Summabilty-of-the-Fourier-Laplace-series-in-the
• Institution: Universiti Islam Antarabangsa Malaysia

In this paper we study convergence and summability problems of the series associated with the Laplace-Beltrami operator on the unique sphere. These series known as Fourier-Laplace series and we study the behaviour of these series in the different spaces of smooth functions with respect number of top...