Local dual and poly-scale refinability期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Local dual and poly-scale refinability

Authors:	Qiyu Sun

Institution:	Department of Mathematics, University of Central Florida, Orlando, Florida 32816

Abstract:	For a compactly supported function , let $S_n(f), n\ge 0$ , be the space of all finite linear combinations of $f(M^n\cdot-k), k\in \mathbf Z$ . In this paper, we consider the explicit construction of local duals of and the poly-scale refinability of functions in when is an -refinable function. We show that for any -refinable function , there exists a local dual of in for some $N\ge 0$ , and that any function in is poly-scale refinable.

Keywords:	Local dual linear independent shifts refinability poly-scale refinability

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文