Multiscale decompositions on bounded domains

Cohen, A.; Dahmen, W.; DeVore, R.

doi:10.1090/S0002-9947-00-02112-7

Multiscale decompositions on bounded domains
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by A. Cohen, W. Dahmen and R. DeVore PDF

Trans. Amer. Math. Soc. 352 (2000), 3651-3685 Request permission

Abstract:

A construction of multiscale decompositions relative to domains $\Omega \subset \mathbb {R}^d$ is given. Multiscale spaces are constructed on $\Omega$ which retain the important features of univariate multiresolution analysis including local polynomial reproduction and locally supported, stable bases.

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