Characterization of Smoothness of Multivariate Refinable Functions and Convergence of Cascade Algorithms of Nonhomogeneous Refinement Equations

被引：0

作者：

Song Li

机构：

[1] Zhejiang University,Department of Mathematics

来源：

Advances in Computational Mathematics | 2004年 / 20卷

关键词：

refinement equation; refinable function; smoothness; cascade algorithm; Sobolev space; Lipschitz space; transition operator; self-affine tile;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper concerns multivariate homogeneous refinement equations of the form

引用

页码：311 / 331

页数：20

共 18 条

[1] Characterization of smoothness of multivariate refinable functions and convergence of cascade algorithms of nonhomogeneous refinement equations
Li, S
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2004, 20 (04) : 311 - 331
[2] CONVERGENCE OF CASCADE ALGORITHMS AND SMOOTHNESS OF REFINABLE DISTRIBUTIONS
SUN QIYU Department of Mathematics
Chinese Annals of Mathematics, 2003, (03) : 367 - 386
[3] Convergence of cascade algorithms and smoothness of refinable distributions
Sun, QY
CHINESE ANNALS OF MATHEMATICS SERIES B, 2003, 24 (03) : 367 - 386
[4] Convergence of cascade algorithms associated with nonhomogeneous refinement equations
Jia, RQ
Jiang, QT
Shen, ZW
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (02) : 415 - 427
[5] Convergence rates of cascade algorithms associated with nonhomogeneous refinement equations
Li, S
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 292 (01) : 84 - 95
[6] Characterization of smoothness of multivariate refinable functions in Sobolev spaces
Jia, RQ
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 351 (10) : 4089 - 4112
[7] Convergence of cascade algorithms in Sobolev spaces associated with multivariate refinement equations
Li, S
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 257 (01) : 154 - 169
[8] Multivariate Refinement Equations and Convergence of Cascade Algorithms in Lp (0 < p < 1) Spaces
Song Li
Acta Mathematica Sinica, 2003, 19 : 97 - 106
[9] Multivariate nonhomogeneous refinement equations
Dinsenbacher, TB
Hardin, DP
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 1999, 5 (06) : 589 - 597
[10] Multivariate nonhomogeneous refinement equations
Thomas B. Dinsenbacher
Douglas P. Hardin
Journal of Fourier Analysis and Applications, 1999, 5 : 589 - 597

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