Examples of refinable componentwise polynomials

被引：7

作者：

Bi, Ning

Han, Bin

Shen, Zuowei ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore

[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

[3] Sun Yat Sen Univ, Dept Sci Comp & Comp Applicat, Guangzhou 510275, Peoples R China

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2007年 / 22卷 / 03期

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

componentwise polynomial; symmetric refinable function; orthogonality; interpolation;

D O I：

10.1016/j.acha.2006.09.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This short note presents four examples of compactly supported symmetric refinable componentwise polynomial functions: (i) a componentwise constant interpolatory continuous refinable function and its derived symmetric tight wavelet frame; (ii) a cornponentwise constant continuous orthonormal and interpolatory refinable function and its associated symmetric orthonormal wavelet basis; (iii) a differentiable symmetric componentwise linear polynomial orthonormal refinable function; (iv) a symmetric refinable componentwise linear polynomial which is interpolatory and differentiable. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：368 / 373

页数：6

共 10 条

[1]

Bi N, 1998, Z ANAL ANWEND, V17, P813

[2]

BI N, 2006, PSEUDO SPLINES DILAT

[3] Vector cascade algorithms and refinable function vectors in Sobolev spaces [J].