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On the almost periodic functions in the sense of Levitan

Michałowicz A., Stoiński S.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2007

Vol. 47, [Z] 2

149-159

In this note we present some theorems on the superposition of an (NVp)-almost periodic (a.p. for short) function, a μ-a.p. function and an (Nμ)-a.p. function. Moreover, we prove a theorem on the bounded primary function of an (NS^p)-a.p. function. Finally, we prove that the inverse of a V_p-a.p. function is (NV_p)-a.p.

A note on N-almost periodic functions and (NI)-almost periodic functions

Stoiński S.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2004

Vol. 44, nr 2

199-204

This paper presents some remarke on the N-almost periodic functions and the definitions and some properties of the (NI)-almost periodic functions, i.e. almost periodic functions in the sense of Levitan with its primary function.