On translation invariant operators which preserve the B-spline recurrence

doi:10.1007/s10444-006-9018-z

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	On translation invariant operators which preserve the B-spline recurrence
	Micchelli, Charles A.1; Xu, Yuesheng 2; Zhang, Haizhang 3
	2008-02-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	28 期号:2 页码:157-169
摘要	It was observed in [4] that the Hilbert transform of the univariate B-spline preserves the B-spline recurrence. Motivated by this observation, we characterize translation invariant operators that preserve the multivariate B-spline recurrence and analogous results are also provided for the multivariate cube spline.
关键词	multivariate B-spline recurrence cube splines translation invariant operators homogeneous distributions
DOI	10.1007/s10444-006-9018-z
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000252613900004
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/5321
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Yuesheng
作者单位	1.SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA 2.Syracuse Univ, Dept Math, Syracuse, NY 13244 USA 3.Chinese Acad Sci, Academy Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Micchelli, Charles A.,Xu, Yuesheng,Zhang, Haizhang. On translation invariant operators which preserve the B-spline recurrence[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2008,28(2):157-169.
APA	Micchelli, Charles A.,Xu, Yuesheng,&Zhang, Haizhang.(2008).On translation invariant operators which preserve the B-spline recurrence.ADVANCES IN COMPUTATIONAL MATHEMATICS,28(2),157-169.
MLA	Micchelli, Charles A.,et al."On translation invariant operators which preserve the B-spline recurrence".ADVANCES IN COMPUTATIONAL MATHEMATICS 28.2(2008):157-169.