Eine Bemerkung zu meiner Arbeit „Rhythmische Abbildungen abelscher Gruppen II“

Summary In the paper quoted in the title it was proved that a function on a discrete group is almost automorphic if and only if it is bounded and continuous in the Bohr topology. Here this result is extended to continuous functions on arbitrary topological groups. Taken together with a theorem of Marenko, this implies a theorem first stated, but not proved, by Veech: a function of a real variable is continuous and almost automorphic if and only if it is bounded and Levitan almost periodic.