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On the almost periodic functions in the sense of Levitan

Adrian Michałowicz; Stanisław Stoiński — 2007

Commentationes Mathematicae

In this note we present some theorems on the superposition of an $(N V_{p})$ -almost periodic (a.p. for short) function, a $μ$ -a.p. function and an $(N μ)$ -a.p. function. Moreover, we prove a theorem on the bounded primary function of an $(N S_{p})$ -a.p. function. Finally, we prove that the inverse of a $V_{p}$ -a.p. function is $(N V_{p})$ -a.p.

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