The various types of definitions of almost-periodic functions are examined and compared in order to clarify the hierarchy of almost-periodic function spaces. Apart from the standard definitions, we introduce also new classes and comment some other, less traditional, definitions, to make a picture as much as possible complete. Several new results concerning horizontal hierarchies are proved. Illustrating examples and counter-examples are shown.
Hierarchy of almost-periodic function spaces / Andres, J; Bersani, Alberto Maria; Grande, F. R.. - In: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI. - ISSN 1120-7183. - STAMPA. - 26:(2006), pp. 121-188.
Hierarchy of almost-periodic function spaces
BERSANI, Alberto Maria;
2006
Abstract
The various types of definitions of almost-periodic functions are examined and compared in order to clarify the hierarchy of almost-periodic function spaces. Apart from the standard definitions, we introduce also new classes and comment some other, less traditional, definitions, to make a picture as much as possible complete. Several new results concerning horizontal hierarchies are proved. Illustrating examples and counter-examples are shown.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
