1. Matrix refinement equations: continuity and smoothness Creator: He, Xing-Gang and Liu, Chun-Tai Format: bez média and svazek Type: model:article and TEXT Subject: matrix refinement equation, continuity, smoothness, iteration, and multi-wavelet Language: English Description: In this paper we give some criteria for the existence of compactly supported $C^{k+\alpha }$-solutions ($k$ is an integer and $0\le \alpha <1$) of matrix refinement equations. Several examples are presented to illustrate the general theory. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public