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Fractional Brownian Motion and Sheet as White Noise Functionals
ZHIYUAN HUANG,CHUJIN LI #
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Funding: none
Opened online: 5 April 2004
Accepted by: none
Citation: ZHIYUAN HUANG,CHUJIN LI.Fractional Brownian Motion and Sheet as White Noise Functionals[OL]. [ 5 April 2004] http://en.paper.edu.cn/en_releasepaper/content/563
 
 
In this short note, we show that it is more natural to look the fractional Brownian motion as functionals of the standard white noises , and the fractional white noise calculus developed in Ref. [1] follows directly from the classical white noise functional calculus. As examples we prove that the fractional Girsanov formula, the It\^{o} type integrals and the fractional Black-Scholes formula are easy consequences of their classical counterparts. An extension to the fractional Brownian sheet is also shortly discussed.
Keywords:Fractional Brownian motion; Fractional white
 
 
 

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