| Generalized multiresolution structures in reducing subspaces of L
2(ℝ
d
) |
| |
| 作者姓名： | ZHOU FengYing LI YunZhang |
| |
| 作者单位： | School of Science, East China Institute of Technology;College of Applied Sciences, Beijing University of Technology |
| |
| 基金项目： | supported by Beijing Natural Science Foundation (Grant No. 1122008);the Scientific Research Common Program of Beijing Municipal Commission of Education (Grant No.KM201110005030) |
| |
| 摘 要： | In this paper, we introduce the notion of generalized multiresolution structure (GMS) in the set-ting of reducing subspaces of L2(Rd). For a general expansive matrix, we obtain a necessary and sufficient condition for GMS, and prove the existence of GMS in a reducing subspace. Using GMS, we obtain a pyramid decomposition and a frame-like expansion for signals in reducing subspaces.
|
| 关 键 词： | reducing subspace generalized multiresolution structure (GMS) pyramid decomposition frame-like expansion |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
