| 双向加细函数和双向Riesz基小波的刻划 |
| |
| 引用本文： | 周汉军,李万社. 双向加细函数和双向Riesz基小波的刻划[J]. 纺织高校基础科学学报, 2008, 21(4): 462-466 |
| |
| 作者姓名： | 周汉军 李万社 |
| |
| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
| |
| 基金项目： | 国家自然科学基金资助项目 |
| |
| 摘 要： | 引入双向加细函数和双向小波的概念，通过双向加细函数的正交准则，双向加细函数基于完备仿射集小波特征，建立小波的Riesz基．在指数衰减情况下，研究双向加细方程在L2稳定解的存在性，得到双向多辨分析紧支撑小波的Riesz基完整刻划．
|
| 关 键 词： | 双向加细函数 Reisz基 小波 指数衰减 |
Characterization of Riesz bases, generated from two-direction refinement function and two-direction wavelets |
| |
| ZHOU Han-jun,LI Wan-she. Characterization of Riesz bases, generated from two-direction refinement function and two-direction wavelets[J]. Basic Sciences Journal of Textile Universities, 2008, 21(4): 462-466 |
| |
| Authors: | ZHOU Han-jun LI Wan-she |
| |
| Affiliation: | ZHOU Han-jun, LI Wan-she (College of Mathematics and Information Seience,Shaanxi Normal University,Xi＇an 710062 ,China) |
| |
| Abstract: | With the help of concept of two-direction refinement function and twodirection wavelets which are investigated refinement function of orthogonal prinples.Main result gives a complete characterization for an affine family of wavelets induced by a compactly supported to form a Riesz basis of L2.It is characterized a Riesz basis associated with an exponentially decaying mask in term of refinement function and two-direction wavelets. |
| |
| Keywords: | two-direction refinement function Riesz basis wavelet exponentially decaying |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
