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A simple functional operator.

Risteski, Ice B., Trenčevski, Kostadin G., Covachev, Valéry C. (1999)

The New York Journal of Mathematics [electronic only]

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 α < 1 ) of matrix refinement equations. Several examples are presented to illustrate the general theory.

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