Multiscale decompositions on bounded domains

被引：34
|
作者：
Cohen, A
Dahmen, W
Devore, R
机构：
[1] Univ Paris 06, Anal Numer Lab, F-75005 Paris, France
[2] Rhein Westfal TH Aachen, D-52052 Aachen, Germany
[3] Univ S Carolina, Ind Math Inst, Columbia, SC 29208 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 352卷 / 08期
关键词：
D O I：
10.1090/S0002-9947-00-02112-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A construction of multiscale decompositions relative to domains Omega subset of 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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页码：3651 / 3685
页数：35
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