Abstract
0. Introduction. There has been interest in recent years in specific versions of the following problem: Let T be a group, let a be the algebra of complex-valued almnost periodic functions on T. and let P be a property enjoyed by the elements of C. If SV(P) denotes the class of all functions for wEhich P is true, what is the nature of S (P) ? Classes of funetions which have arisen from this approach and which have proved to be rieh in structule have been the weakly almost periodic functions of Eberlein [5], the almost automorphic functions of Bochner [3, 20], and the distal functions of L. Auslander and Hahn [2, 16]. In the present paper we restrict T to be abeliai and consider a relatively weak property, a property whiclh involves a notion of recurrenice and is called minimality [2].
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