On the Construction of the Orthonormal Wavelet in the Hardy Space H^2(R)
On the Construction of the Orthonormal Wavelet in the Hardy Space H^2(R)
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Hardy空间H^2(R)中正交小波的构造
DOI：
10.1142/s0219691321500442
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
H. Hashimoto and T. Kinoshita
中科院分区：
文献类型：
--
作者：
Hayashi;Nakao;H. Hashimoto and T. Kinoshita
我们讨论了Hardy空间中的标准正交波，它是没有负频率分量的闭子空间。众所周知，不存在对某些人来说是连续且令人满意的小波。本文的目的是在连续的条件下找到现有小波的一个临界衰减率。此外，我们还构造了一个具有无限消失矩的具体小波。
We are concerned with the orthonormal waveletin the Hardy spacewhich is a closed subspace ofwithout negative frequency components. It is well known that there does not exist an-wavelet such thatis continuous onand satisfiesfor some. The aim of this paper is to find a critical decay rate in the existing-wavelet under the condition thatis continuous on. Moreover, we also construct a concrete-wavelet having infinite vanishing moments.