Matrix refinement equations: Continuity and smoothness

Author: He Xing-Gang   Liu Chun-Tai  

Publisher: Springer Publishing Company

ISSN: 0011-4642

Source: Czechoslovak Mathematical Journal, Vol.57, Iss.2, 2007-06, pp. : 747-762

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Abstract

In this paper we give some criteria for the existence of compactly supported C k+α-solutions (k is an integer and 0 α < 1) of matrix refinement equations. Several examples are presented to illustrate the general theory.