Infinitesimal approach of almost-automorphic functions. (English) Zbl 0785.03045
Introducing the concept of ideal elements of “several levels”, the author gives a compact topological characterization of almost-automorphic functions. This new characterization appears to be equivalent to a geometric one: the existence of a relatively dense group of “pointwise periods”. The author claims that a more significant result is a lowering of the complexity in characterizations and proofs. However, this “lowering” is obtained only after introducing an additional “adequate language” and a conservative extension of ZFC.
Reviewer: R.A.Herrmann (Annapolis)
Keywords:
almost periodic functions; ideal elements; topological characterization; almost-automorphic functionsReferences:
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