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# almost periodic function (equivalent definition)

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

A function $f\colon\mathbb{R}\to\mathbb{R}$ is *almost periodic* if
every sequence of translates of $f$ has a uniformly convergent subsequence.

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Definition

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## Mathematics Subject Classification

42A75*no label found*

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## Recent Activity

Jul 5

new correction: Error in proof of Proposition 2 by alex2907

Jun 24

new question: A good question by Ron Castillo

Jun 23

new question: A trascendental number. by Ron Castillo

Jun 19

new question: Banach lattice valued Bochner integrals by math ias

new correction: Error in proof of Proposition 2 by alex2907

Jun 24

new question: A good question by Ron Castillo

Jun 23

new question: A trascendental number. by Ron Castillo

Jun 19

new question: Banach lattice valued Bochner integrals by math ias