An improvement of Papadakis' theorem

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	An improvement of Papadakis' theorem
	Zhang, ZH ; Mu, LH ; Zhang, PX
	2004-05-01
发表期刊	PROGRESS IN NATURAL SCIENCE
ISSN	1002-0071
卷号	14 期号:5 页码:448-452
摘要	There exist many orthonormal wavelets which cannot be derived by multiresolution analysis (MRA) with a single scaling function. In 2000, Papadakis announced that any orthonormal wavelet is derived by a generalized MRA with countable scaling functions at most. We improve Papadakis' theorem and find that for any othonormal wavelet, the least number of the corresponding scaling functions is just the essential supremum of the dimension function of the orthonormal wavelet. Moreover, we construct directly the fewest scaling functions.
关键词	scaling function generalized MRA dimension function
语种	英语
WOS研究方向	Materials Science ; Science & Technology - Other Topics
WOS类目	Materials Science, Multidisciplinary ; Multidisciplinary Sciences
WOS记录号	WOS:000221600300011
出版者	TAYLOR & FRANCIS 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/19272
专题	中国科学院数学与系统科学研究院
通讯作者	Mu, LH
作者单位	1.Shandong Univ, Dept Math, Jinan 250100, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, ZH,Mu, LH,Zhang, PX. An improvement of Papadakis' theorem[J]. PROGRESS IN NATURAL SCIENCE,2004,14(5):448-452.
APA	Zhang, ZH,Mu, LH,&Zhang, PX.(2004).An improvement of Papadakis' theorem.PROGRESS IN NATURAL SCIENCE,14(5),448-452.
MLA	Zhang, ZH,et al."An improvement of Papadakis' theorem".PROGRESS IN NATURAL SCIENCE 14.5(2004):448-452.