Frontiers of Mathematics in China >
Generalized fractional Lévy random fields on Gel’fand triple: A white noise approach
Received date: 17 Jan 2010
Accepted date: 22 Mar 2011
Published date: 01 Jun 2011
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In this paper, under the first-order moment condition of the infinitely divisible distribution on Gel’fand triple, we use Riesz potential to construct fractional Lévy random fields on Gel’fand triple by white noise approach. We investigate the distribution and sample properties of isotropic and anisotropic fractional Lévy random fields, respectively.
Xuebin LÜ , Zhiyuan HUANG , Wanyang DAI . Generalized fractional Lévy random fields on Gel’fand triple: A white noise approach[J]. Frontiers of Mathematics in China, 2011 , 6(3) : 493 -506 . DOI: 10.1007/s11464-011-0130-0
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