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On the integral representation of functionals of ltd processest†

 

作者: U. G. Haussmann,  

 

期刊: Stochastics  (Taylor Available online 1980)
卷期: Volume 3, issue 1-4  

页码: 17-27

 

ISSN:0090-9491

 

年代: 1980

 

DOI:10.1080/17442507908833134

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

If z is the unique solution of the Itô equationand if L is a differentiable functional of the (continuous trajectories of z, then we show thatwhere μzis the function of bounded variation corresponding to the derivative ofL(z), where ø is the fundamental matrix solutiion ogf the linearized version of the zbove Itô equation, and whereis the algebra generated byw(s),s≦t.

 

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