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Localization of dual periodic scaling and wavelet functions
Chen, HL; Peng, SL
Source PublicationADVANCES IN COMPUTATIONAL MATHEMATICS
2003-07-01
Volume19Issue:1Pages:195–210
SubtypeArticle
AbstractIn 1996, we constructed periodic interpolatory scaling functions ϕj, wavelet functions Lj and their dual basis φ j ˜ and L ˜ j φj~ and L~j with properties such as symmetry, biorthogonality, any order of smoothness, real-valuedness, explicit expressions and interpolatory. We proved the localization of ϕj in 1997, and in 1998 with Li proved the localization of Lj. In this paper we shall give a detailed proof of the localization for the dual functions φ j ˜ and L ˜ j φj~ and L~j .
KeywordLocalizationdual Functionperiodic Wavelet
WOS HeadingsScience & Technology ; Physical Sciences
WOS KeywordQUASI-WAVELET ; MULTIWAVELETS ; EQUATIONS ; SPLINES
Indexed BySCI ; ISTP
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000181690000010
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Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9903
Collection09年以前成果
Corresponding AuthorChen, HL
Recommended Citation
GB/T 7714
Chen, HL,Peng, SL. Localization of dual periodic scaling and wavelet functions[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2003,19(1):195–210.
APA Chen, HL,&Peng, SL.(2003).Localization of dual periodic scaling and wavelet functions.ADVANCES IN COMPUTATIONAL MATHEMATICS,19(1),195–210.
MLA Chen, HL,et al."Localization of dual periodic scaling and wavelet functions".ADVANCES IN COMPUTATIONAL MATHEMATICS 19.1(2003):195–210.
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