Wavelets in wandering subspaces
Wavelets in wandering subspaces
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DOI：
10.1090/s0002-9947-1993-1117215-0
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发表时间：
1993-02
影响因子：
1.3
通讯作者：
T. Goodman;S. L. Lee;Wai-Shing Tang
中科院分区：
文献类型：
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作者：
T. Goodman;S. L. Lee;Wai-Shing Tang
Mallat的构造，通过一个多分辨率近似，由单一函数产生的标准正交小波被推广到由有限函数集产生的小波。在一般情况下，利用Hilbert空间中幺正算子的漫游子空间概念与多分辨率近似之间的联系。构造了一个由基数埃尔米特b样条生成的多分辨率逼近的实例
Mallat's construction, via a multiresolution approximation, of orthonormal wavelets generated by a single function is extended to wavelets generated by a finite set of functions. The connection between multiresolution approximation and the concept of wandering subspaces of unitary operators in Hilbert space is exploited in the general setting. An example of multiresolution approximation generated by cardinal Hermite B-splines is constructed