Equivalent almost periodic functions in terms of the new property of almost equality

Autor:	Sepulcre, Juan Matias, Vidal, Tomás
Přispěvatelé:	Universidad de Alicante. Departamento de Matemáticas, Curvas Alpha-Densas. Análisis y Geometría Local
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Almost periodic functions Almost equality by translations Mathematics (miscellaneous) equivalence ϵ-translation numbers Almost equal functions almost periodic functions *-equivalence SV-equivalence almost equality by translations ε-translation numbers SV-equivalence Almost equal functions
Zdroj:	Quaestiones Mathematicae; Vol. 46 No. 1 (2023); 147-160
ISSN:	1607-3606 1727-933X
Popis:	In this paper we introduce the notion of almost equality (or, more specifically, almost equality by translations) of complex functions of an unrestricted real variable in terms of the new concept of ϵ-translation number of a function with respect to other one, which is inspired by Bohr’s notion of ϵ-translation number associated with an almost periodic function. We develop the main properties of this new class of functions and obtain a characterization through a very important equivalence relation which we introduced in previous papers in the context of the almost periodicity. The first author was supported by PGC2018-097960-B-C22 (MCIU/AEI/ERDF, UE).
Databáze:	OpenAIRE
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