Characterizations of multi-knot piecewise linear spectral sequences

doi:10.1007/s10444-005-9006-8

CSpace

	Characterizations of multi-knot piecewise linear spectral sequences
	Li, Haitao ; Yan, Dunyan
	2007-11-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	27 期号:4 页码:401-422
摘要	We study two classes of orthonormal bases for L-2[0, 1] in this paper. The exponential parts of these bases are multi-knot piecewise linear functions. These bases are called spectral sequences. Characterizations of these multi-knot piecewise linear functions are provided. We also consider an opposite problem for single-knot piecewise linear spectral sequences, where the piecewise linear functions are defined on [0, theta) and [theta, 1]. We show that such spectral sequences do not exist except for theta = 1/2.
关键词	spectral sequence orthogonal basis trigonometric basis
DOI	10.1007/s10444-005-9006-8
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000250403900003
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/4325
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Haitao
作者单位	1.Chinese Acad Railway Sci, Ctr Res & Dev, Beijing 100081, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Chinese Acad Sci, Grad Sch, Sch Informat Sci & Engn, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, Haitao,Yan, Dunyan. Characterizations of multi-knot piecewise linear spectral sequences[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2007,27(4):401-422.
APA	Li, Haitao,&Yan, Dunyan.(2007).Characterizations of multi-knot piecewise linear spectral sequences.ADVANCES IN COMPUTATIONAL MATHEMATICS,27(4),401-422.
MLA	Li, Haitao,et al."Characterizations of multi-knot piecewise linear spectral sequences".ADVANCES IN COMPUTATIONAL MATHEMATICS 27.4(2007):401-422.