Sums and products of periodic functions

There exist two real valued periodic functions on the real line such that, for every x ∈ ℝ, f1(x) + f2(x) = x, but it is impossible to find two real valued periodic functions on the real line such that, for every x ∈ ℝ, f1(x) + f2(x) = x2. The purpose of this note is to prove this result and also to...

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Bibliographic Details
Main Author: Deville Robert
Format: Article
Language:English
Published: Sciendo 2023-05-01
Series:Moroccan Journal of Pure and Applied Analysis
Subjects:
Online Access:https://doi.org/10.2478/mjpaa-2023-0014