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math.PR2011★ 2 cited
Ito-Wiener chaos and the Hodge decomposition on an abstract Wiener space
Yuxin Yang
Using the structure of the Boson-Fermion Fock space and an argument taken from [2], we give a new proof of the triviality of the cohomology groups on an abstract Wiener space…
math.PR2011★ 1 cited
Generalised Clark-Ocone formulae for differential forms
Yuxin Yang
We generalise the Clark-Ocone formula for functions to give analogous representations for differential forms on the classical Wiener space. Such formulae provide explicit expressio…