Geodesic
Matrix refinement equations: Continuity and smoothness
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 747-762.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 39B12, 39B42, 42C40
Keywords: matrix refinement equation; continuity; smoothness; iteration; multi-wavelet 
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He, Xing-Gang; Liu, Chun-Tai. Matrix refinement equations: Continuity and smoothness. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 747-762. http://geodesic.mathdoc.fr/item/CMJ_2007__57_2_a16/