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Arithmetic Progressions in Sumsets and <i>L<sup>p</sup></i>-Almost-Periodicity

Arithmetic Progressions in Sumsets and <i>L<sup>p</sup></i>-Almost-Periodicity

We prove results about the L p -almost-periodicity of convolutions. One of these follows from a simple but rather general lemma about approximating a sum of functions in L p , and gives a very short proof of a theorem of Green that if A and B are subsets of …