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Decoupling and stochastic integration in UMD Banach spaces
Decoupling stochastic integration' UMD Banach spaces
2009/9/23
Rositiski and Suchanecki have characterized the class of
deterministic E-valued functions integrable with respect to Brownian
motion, where E is a given Banach space. We extend their result to
rand...
A Clark-Ocone formula in UMD Banach spaces
Clark-Ocone formula probability space UMD Banach space
2009/3/19
Let H be a separable real Hilbert space and let F = (Ft)t in [0,T] be the augmented filtration generated by an H-cylindrical Brownian motion WH on [0,T] on a probability space (Ω,F,P). We prove that i...