Fractional generalized Lévy random fields as white noise functionals |
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| Authors: | Zhiyuan Huang Peiyan Li |
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| Institution: | (1) Department of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074, China |
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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).
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| Keywords: | Riesz potential tempered Lévy white noise fractional generalized random field anisotropic random field |
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