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Functional equations and martingales
Aequationes Mathematicae ( IF 0.8 ) Pub Date : 2021-05-22 , DOI: 10.1007/s00010-021-00807-9 M. Mania , L. Tikanadze
中文翻译:
功能方程和mar
更新日期:2021-05-22
Aequationes Mathematicae ( IF 0.8 ) Pub Date : 2021-05-22 , DOI: 10.1007/s00010-021-00807-9 M. Mania , L. Tikanadze
We consider functional equations (Cauchy’s, Abel’s and some other functional equations) and show that finding the general solution of these equations is equivalent to establishing that a space-transformation of a Brownian Motion by a suitable function (or functions) is a martingale.
中文翻译:
功能方程和mar
我们考虑了功能方程式(Cauchy's,Abel's和其他一些功能方程式),并表明找到这些方程式的一般解等同于证明通过合适的一个或多个函数对布朗运动进行空间变换是a。