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2011-01-11 Seminar

Marcin Borkowski
On some properties of almost periodic functions

During the talk we will present a construction of certain uniformity on a given topological group G. It turns out that the class of (real or complex) uniformly continuous functions with respect to this uniformity coincides with the class of Bohr almost periodic functions on G. The talk is based on the paper of E. M. Alfsen and P. Holm A note on compact representations and almost periodicity in topological groups, Math. Scand. 10 (1962), 127-136.

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