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单词 AlmostPeriodicFunctionequivalentDefinition
释义

almost periodic function (equivalent definition)


There is an equivalentMathworldPlanetmathPlanetmathPlanetmathPlanetmath definition of almost periodic function due to Bochner:

A function f: is almost periodic ifevery sequence of translates of f has a uniformly convergent subsequence.

Not only is this definition simpler to state than that of Bohr,but it also generalizes to functions on groups.

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更新时间:2025/5/4 15:06:13