almost periodic function (equivalent definition)

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

A function f: is almost periodic if every 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.

Title almost periodic function (equivalent definition)
Canonical name AlmostPeriodicFunctionequivalentDefinition
Date of creation 2013-03-22 15:23:03
Last modified on 2013-03-22 15:23:03
Owner rspuzio (6075)
Last modified by rspuzio (6075)
Numerical id 8
Author rspuzio (6075)
Entry type Definition
Classification msc 42A75