Characterising the accuracy of multivariable refinable functions via the symbol function

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	Characterising the accuracy of multivariable refinable functions via the symbol function
	Sheng, QH ; Chen, HL
	2001-04-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1000-9574
卷号	17 期号:2 页码:277-286
摘要	Suppose that f(x) = (f(1)(x),...,f(r)(x))(T), x is an element of R-d is a vector-valued function satisfying the refinement equation f(x) = Sigma (Lambda) c(k)f(2x - k) with finite set Lambda of Z(d) and some r x r matricex c(k). The requirements for f to have accuracy p are given in terms of the symbol function m(xi).
关键词	accuracy symbol refinable functions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000168472800011
出版者	SPRINGER-VERLAG SINGAPORE PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16867
专题	中国科学院数学与系统科学研究院
通讯作者	Sheng, QH
作者单位	1.Hubei Univ, Sch Math & Comp Sci, Wuhan 430062, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Sheng, QH,Chen, HL. Characterising the accuracy of multivariable refinable functions via the symbol function[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2001,17(2):277-286.
APA	Sheng, QH,&Chen, HL.(2001).Characterising the accuracy of multivariable refinable functions via the symbol function.ACTA MATHEMATICA SINICA-ENGLISH SERIES,17(2),277-286.
MLA	Sheng, QH,et al."Characterising the accuracy of multivariable refinable functions via the symbol function".ACTA MATHEMATICA SINICA-ENGLISH SERIES 17.2(2001):277-286.