On the approximation of the function on the unite sphere by the spherical harmonic
In this paper we discuss convergence and summability of the Fourier series of distributions in the domains where it coincides with smooth functions in eigenfunction expansions of the Laplace operator on the unite sphere. We consider representation of the distributions defined on the unit sphere by i...
Saved in:
| 主要作者: | |
|---|---|
| 格式: | Article |
| 語言: | English |
| 出版: |
Penerbit UMT
2023
|
| 主題: | |
| 在線閱讀: | http://irep.iium.edu.my/108831/1/108831_On%20the%20approximation%20of%20the%20function.pdf http://irep.iium.edu.my/108831/ https://journal.umt.edu.my/index.php/jmsi/article/view/422 |
| 標簽: |
添加標簽
沒有標簽, 成為第一個標記此記錄!
|
| 總結: | In this paper we discuss convergence and summability of the Fourier series of distributions in the domains where it coincides with smooth functions in eigenfunction expansions of the Laplace operator on the unite sphere. We consider representation of the distributions defined on the unit sphere by its Fourier-Laplace series by the spherical harmonics in different topologies. Mainly we study the Chesaro method of summation such a series |
|---|