almost periodic function (equivalent definition)

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

A function $f:ℝ\to ℝ$ 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