| 球面上Fourier—Laplace级数线性求和法的饱和问题 |
| |
| 引用本文： | 高朋香.球面上Fourier—Laplace级数线性求和法的饱和问题[J].北京师范大学学报(自然科学版),1999,35(3):298-302. |
| |
| 作者姓名： | 高朋香 |
| |
| 作者单位： | 北京师范大学数学系 |
| |
| 摘 要： | 详细研究了球面上借助于下三角矩阵∧确定的Ｆｏｕｒｉｅｒ－Ｌａｐｌａｃｅ级数线性求和法的饱和问题。系统地给出了线性求和法的充分条件和饱和阶；使用Ｓｔｅｐａｎｅｔｓ引入的ψ－导数清楚地刻画饱和类。
|
| 关 键 词： | F－L级数 线性求和法 饱和问题 球面 |
SATURATION PROBLEM OF LINEAR METHODS OF FOURIER-LAPLACE SERIES SERIES ON THE SPHERE |
| |
| Gao Pengxiang.SATURATION PROBLEM OF LINEAR METHODS OF FOURIER-LAPLACE SERIES SERIES ON THE SPHERE[J].Journal of Beijing Normal University(Natural Science),1999,35(3):298-302. |
| |
| Authors: | Gao Pengxiang |
| |
| Abstract: | For Fourier-Laplace series on the sphere, the probleme of linear methods generated by lower triangular metrix A are investigated in details. That is, on one hand, the suficient conditions for saturation of linear methods of Fourier- Laplace series and satufation orders are systematicly given, on the other hand, saturation classes are clearly given by using -derivative which Stepannets given first. |
| |
| Keywords: | saturation saturation order saturation class |
| 本文献已被 CNKI 维普 等数据库收录！ |
