On the Wavelets Having Gevrey Regularities and Subexponential Decays
On the Wavelets Having Gevrey Regularities and Subexponential Decays
复制标题
具有Gevrey正则性和次指数衰减的小波
DOI：
10.1002/mana.201300033
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发表时间：
2013
影响因子：
1
通讯作者：
I. Uehara
中科院分区：
文献类型：
--
作者：
N. Fukuda;T. Kinoshita;I. Uehara
众所周知，不存在属于指数衰减的正交子波。在本文中，我们将构造在时间和频率上都具有Gevrey正则性的新小波。此外，我们还构造了一个属于几乎指数衰减的小波。
It is known that there is no orthonormal wavelet belonging to and having exponential decay. In this paper, we shall construct new wavelets having Gevrey regularities both in time and frequency. Furthermore, we also construct a wavelet belonging to and having almost exponential decay.