A First Course on Wavelets
A First Course on Wavelets
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DOI：
10.1201/9781420049985
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发表时间：
1996-11
期刊：
影响因子：
--
通讯作者：
E. Hernández;G. Weiss
中科院分区：
文献类型：
--
作者：
E. Hernández;G. Weiss
由单个函数生成的L2（R）矩阵正交基的基：L2（R）上的Balian-Low定理光滑投影局部正弦和余弦基与某些波函数的构造酉折叠算子与光滑投影注记与参考文献多分辨分析与波函数的构造多分辨分析由多分辨分析构造波函数紧支撑波函数的构造紧支集小波谱和参考谱的光滑性估计带限小波谱正交正规完备性Lemarie-Meyer小波谱某些带限小波谱和参考谱的再刻画L2（T）上真实的直线样条上富兰克林小波谱的其他构造周期样条的正交基定义在真实的直线上的小波的周期化函数的Banach空间小波基表示无条件Banach空间小波展开式在LP（R）中的收敛性R小波上的无条件基小波展开式H_1和BMO的点态收敛性（H_1（R）和LP（R））
Bases for L2(R) Preliminaries Orthonormal Bases Generated by a Single Function: The Balian-Low Theorem Smooth Projections on L2(R) Local Sine and Cosine Bases and the Construction of Some Wavelets The Unitary Folding Operators and the Smooth Projections Notes and References Multiresolution Analysis and the Construction of Wavelets Multiresolution Analysis Construction of Wavelets from a Multiresolution Analysis The Construction of Compactly Supported Wavelets Better Estimates for the Smoothness of Compactly Supported Wavelets Notes and References Band-Limited Wavelets Orthonormality Completeness The Lemarie-Meyer Wavelets Revisited Characterization of Some Band-Limited Wavelets Notes and References Other Constructions of Wavelets Franklin Wavelets on the Real Line Spline Wavelets on the Real Line Orthonormal Bases of Piecewise Linear Continuous Functions for L2(T) Orthonormal Bases of Periodic Splines Periodization of Wavelets Defined on the Real Line Notes and References Representation of Functions by Wavelets Bases for Banach Spaces Unconditional Bases for Banach Spaces Convergence of Wavelet Expansions in LP(R) Pointwise Convergence of Wavelets Expansions H1 and BMO on R Wavelets as Unconditional Bases for H1(R) and LP(R) with 1