Hierarchy of almost-periodic function spaces

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 a...

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Bibliographic Details
Main Authors: J. Andres, A. M. Bersani
Format: Article
Language:English
Published: Sapienza Università Editrice 2006-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2006(2)/121-188.pdf
Description
Summary: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.
ISSN:1120-7183
2532-3350