Spectral approximation orders of multidimensional nonstationary biorthogonal semi-multiresolution analysis in Sobolev space

CSpace

	Spectral approximation orders of multidimensional nonstationary biorthogonal semi-multiresolution analysis in Sobolev space
	Chen, WS ; Xu, C ; Lin, W
	2006
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	24 期号:1 页码:81-90
摘要	Subdivision algorithm (Stationary or Non-stationary) is one of the most active and exciting research topics in wavelet analysis and applied mathematical theory. In multidimensional non-stationary situation, its limit functions are both compactly supported and infinitely differentiable. Also, these limit functions can serve as the scaling functions to generate the multidimensional non-stationary orthogonal or biorthogonal semi-multiresolution analysis (Semi-MRAs). The spectral approximation property of multidimensional nonstationary biorthogonal Semi-MRAs is considered in this paper. Based on non-stationary subdivision scheme and its limit scaling functions, it is shown that the multidimensional non-stationary biorthogonal Semi-MRAs have spectral approximation order r in Sobolev space H(s)(R(d)), for all r >= s >= 0.
关键词	nonstationary subdivision algorithm biorthogonal semi-MRAs wavelets spectral approximation Sobolev space
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000235395500008
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3216
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, WS
作者单位	1.Shenzhen Univ, Dept Math, Shenzhen 518060, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China 3.Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China
推荐引用方式 GB/T 7714	Chen, WS,Xu, C,Lin, W. Spectral approximation orders of multidimensional nonstationary biorthogonal semi-multiresolution analysis in Sobolev space[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2006,24(1):81-90.
APA	Chen, WS,Xu, C,&Lin, W.(2006).Spectral approximation orders of multidimensional nonstationary biorthogonal semi-multiresolution analysis in Sobolev space.JOURNAL OF COMPUTATIONAL MATHEMATICS,24(1),81-90.
MLA	Chen, WS,et al."Spectral approximation orders of multidimensional nonstationary biorthogonal semi-multiresolution analysis in Sobolev space".JOURNAL OF COMPUTATIONAL MATHEMATICS 24.1(2006):81-90.