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

• Autorzy: Stoiński S.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

almost periodic functions; primary function

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2004
• Tom: Vol. 44, nr 2
• Strony: 199--204
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Stoiński S.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland

Bibliografia

• [1] M. Adamczak, C(n)-almost periodic functions, Ann. Soc. Math. Pol., Ser. I, Comn Math. 37 (1997), 1-12.
• [2] M. Adamczak, Some remarks on almost periodic functions, Fasc. Math. 33 (2002), 5-19.
• [3] M. Adamczak and S. Stoiński, On the (NC(n))-almost periodic functions, Function Spaces, Proceedings of the Sixth Conference, Wrocław 2001, World Scientific Publishing Co. Pte. Ltd. (2003), 39-48.
• [4] A. Besicovitch, Almost Periodic Functions, Cambridge 1932.
• [5] H. Bohr, Zur Theorie der fastperiodischen Funktionen, I Teil, Acta Math. 45 (1925) 29-127; II Teil, Acta Math. 46 (1925), 101-214.
• [6] B. M. Levitan, Almost Periodic Functions, Moscow 1953 (in Russian).
• [7] S. Stoiński, N-almost periodic in the sense of variation functions, Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 41 (2001), 195-202.