Fractional generalized L関y random fields as white noise functionals

doi:10.1007/s11464-007-0015-4

Front. Math. China

2007, Vol. 2

Issue (2) : 211-226 https://doi.org/10.1007/s11464-007-0015-4

Fractional generalized L関y random fields as white noise functionals

HUANG Zhiyuan, LI Peiyan

Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China;

Download: PDF(225 KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract 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).

Issue Date: 05 June 2007

Cite this article:

HUANG Zhiyuan,LI Peiyan. Fractional generalized L関y random fields as white noise functionals[J]. Front. Math. China, 2007, 2(2): 211-226.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-007-0015-4
https://academic.hep.com.cn/fmc/EN/Y2007/V2/I2/211

Viewed

Full text

Abstract

Cited

Shared

Discussed