Frontiers of Mathematics in China >

2007 , Vol. 2 >Issue 2: 211 - 226

DOI: https://doi.org/10.1007/s11464-007-0015-4

Fractional generalized L関y random fields as white noise functionals

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

Published date: 05 Jun 2007

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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).

Cite this article

HUANG Zhiyuan, LI Peiyan . Fractional generalized L関y random fields as white noise functionals[J]. Frontiers of Mathematics in China, 2007 , 2(2) : 211 -226 . DOI: 10.1007/s11464-007-0015-4

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