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Functional equations and martingales
Michael Mania, Luka Tikanadze · 2019-12-13 · via math.PR updates on arXiv.org

We consider functional equations (Cauchy's, Abel's and some other functional equations) and show that to find general solution of these equations is equivalent to establish that a space-transformation of a Brownian Motion by suitable function (or functions) is a martingale.

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