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arxiv: 1611.09214 · v3 · pith:HIYXX3SBnew · submitted 2016-11-28 · 🧮 math.PR

Constructive martingale representation in functional It\^o calculus: a local martingale extension

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keywords martingalecalculusconstructivefunctionallocalmartingalesrepresentationspace
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The constructive martingale representation theorem of functional It\^o calculus is extended, from the space of square integrable martingales, to the space of local martingales. The setting is that of an augmented filtration generated by a Wiener process.

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