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Matrix refinement equations: Continuity and smoothness

Xing-Gang He; Chun-Tai Liu — 2007

Czechoslovak Mathematical Journal

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

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