Localization of dual periodic scaling and wavelet functions

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	Localization of dual periodic scaling and wavelet functions
	Chen, HL ; Peng, SL
	2003-07-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	19 期号:1-3 页码:195-210
摘要	In 1996, we constructed periodic interpolatory scaling functions phi(j), wavelet functions L(j) and their dual basis (phi) over tilde (j) and (L) over tilde (j) with properties such as symmetry, biorthogonality, any order of smoothness, real-valuedness, explicit expressions and interpolatory. We proved the localization of phi(j) in 1997, and in 1998 with Li proved the localization of L(j). In this paper we shall give a detailed proof of the localization for the dual functions (phi) over tilde (j) and (L) over tilde (j).
关键词	localization dual function periodic wavelet
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000181690000010
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18563
专题	中国科学院数学与系统科学研究院
作者单位	1.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, HL,Peng, SL. Localization of dual periodic scaling and wavelet functions[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2003,19(1-3):195-210.
APA	Chen, HL,&Peng, SL.(2003).Localization of dual periodic scaling and wavelet functions.ADVANCES IN COMPUTATIONAL MATHEMATICS,19(1-3),195-210.
MLA	Chen, HL,et al."Localization of dual periodic scaling and wavelet functions".ADVANCES IN COMPUTATIONAL MATHEMATICS 19.1-3(2003):195-210.