Spectral Models for Orthonormal Wavelets and Multiresolution Analysis of L2(ℝ)

被引：0
作者：
F. Gómez-Cubillo
Z. Suchanecki
机构：
[1] Universidad de Valladolid,Dpto de Análisis Matemático, Facultad de Ciencias
[2] Campus Kirchberg,Université du Luxembourg
[3] University of Opole,Institute of Mathematics and Informatics
来源：
Journal of Fourier Analysis and Applications | 2011年 / 17卷
关键词：
Orthonormal wavelets; Multiresolution analysis; Spectral representations; Invariant subspaces; 42C40; 47A15; 47A56;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Spectral representations of the dilation and translation operators on L2(ℝ) are built through appropriate bases. Orthonormal wavelets and multiresolution analysis are then described in terms of rigid operator-valued functions defined on the functional spectral spaces. The approach is useful for computational purposes.
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页码：191 / 225
页数：34
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