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arxiv: 1605.08861 · v5 · pith:SGHV3YBDnew · submitted 2016-05-28 · 🧮 math.PR · math.FA

The associativity rule in pathwise functional It\^o calculus

classification 🧮 math.PR math.FA
keywords associativityintegraldifferentialfunctionalpathwisecalculuscancellationcomputation
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In this paper we establish the associativity property of the pathwise It\^o integral in a functional setting for continuous integrators. Here, associativity refers to the computation of the It\^o differential of an It\^o integral, by means of the intuitive cancellation of the It\^o differential and integral signs.

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