%0 Journal Article
%T THE NON-EXISTENCE OF A CLASS OF ORTHONORMAL BANLANCING MULTIWAVELET SYSTEM WITH THE SAME SYMMETRIC/ANTISYMMETRIC CENTER<br>一类具有相同对称/反对称中心的正交平衡向量小波系统的不存在性
%A Li Rui
%A Zhang Zhiping
%A <br>李锐
%A 张志平
%J 计算数学
%D 2010
%I 
%X Two results are obtained in this paper. First, it is proved that if the product of the dilation factor m and the multiplicity r is odd, then there does not exist orthonormal multiwavelet system with the same symmetric/antisymmetric center (1/2)(1+μ+(μ/(m-1)))(μ∈N); Secondly, it is shown that if the dilation factor m is equal to 3 and the multiplicity r is even, then there does not exist orthonormal balancing multiwavelet system with the same symmetric/antisymmetric center (1/2)(1+μ+(μ/(m-1)))(μ∈N), where N denotes the set of all positive integers.
%K Multiwavelet
%K banlaneing multiwavelet
%K symmetry<br>向量小波
%K 平衡向量小波
%K 对称性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=A041B5A69F5918FCE37D9BB8729DD88A&yid=140ECF96957D60B2&vid=9971A5E270697F23&iid=0B39A22176CE99FB&sid=D5C73DEF4CF8FAF3&eid=A1266CF37D675CF1&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=11