Fractional generalized Lévy random fields as white noise functionals
Fractional generalized Lévy random fields as white noise functionals
复制标题
DOI：
10.1007/s11464-007-0015-4
复制
发表时间：
2007-06
影响因子：
--
通讯作者：
Zhiyuan Huang;P. Li
中科院分区：
文献类型：
--
作者：
Zhiyuan Huang;P. Li
本文将分数阶广义Lévy随机场构造为调和白色噪声泛函。我们发现，这种白色噪声的方法是非常有效的调查这些领域的属性。在一定条件下，得到了通常意义下的分式Lévy域.此外，我们还提出了一种构造各向异性分数阶广义Lévy随机场（AFGLRF）的方法。
In this paper, we construct the fractional generalized Lévy random fields (FGLRF) as tempered white noise functionals. We find that this white noise approach is very effective in investigating the properties of these fields. Under some conditions, the fractional Lévy fields in the usual sense are obtained. In addition, we also present a method to construct the anisotropic fractional generalized Lévy random fields (AFGLRF).