Geodesic
Matrix refinement equations: Continuity and smoothness
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 747-762 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
@article{CMJ_2007_57_2_a16,
     author = {He, Xing-Gang and Liu, Chun-Tai},
     title = {Matrix refinement equations: {Continuity} and smoothness},
     journal = {Czechoslovak Mathematical Journal},
     pages = {747--762},
     year = {2007},
     volume = {57},
     number = {2},
     mrnumber = {2337628},
     zbl = {1174.42043},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2007_57_2_a16/}
}
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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/