Asymptotic formula for the Riesz means of the spectral functions of Laplace-Beltrami operator on unit sphere

• Main Authors: Rasedee, Ahmad Fadly Nurullah, Ahatjonovich, Anvarjon Ahmedov, Abdul Sathar, Mohammad Hasan
• Format: Article
• Language: English
• Published: Institute of Physics Publishing 2017
• Online Access: http://psasir.upm.edu.my/id/eprint/60967/1/Asymptotic%20formula%20for%20the%20Riesz%20means%20of%20the%20spectral%20functions%20of%20Laplace-Beltrami%20operator%20on%20unit%20sphere.pdf; http://psasir.upm.edu.my/id/eprint/60967/; https://iopscience.iop.org/article/10.1088/1742-6596/890/1/012117/pdf

The mathematical models of the heat and mass transfer processes on the ball type solids can be solved using the theory of convergence of Fourier-Laplace series on unit sphere. Many interesting models have divergent Fourier-Laplace series, which can be made convergent by introducing Riesz and Cesaro...